65,536
65536 is the natural number following 65535 and preceding 65537.
65536 is a power of two: .
65536 is the smallest number with exactly 17 divisors .
In mathematics
65536 is, so in tetration notation 65536 is 42.When expressed using Knuth's up-arrow notation, 65536 is
which is equal to
which is equivalent to
or
As is also equal to 4, or,
can thus be written as,
or , or as the pentation .
65536 is a superperfect number – a number such that σ = 2n.
A 16-bit number can distinguish 65536 different possibilities. For example, unsigned binary notation exhausts all possible 16-bit codes in uniquely identifying the numbers 0 to 65535. In this scheme, 65536 is the least natural number that can not be represented with 16 bits. Conversely, it is the "first" or smallest positive integer that requires 17 bits.
65536 is the only power of 2 less than 231000 that does not contain the digits 1, 2, 4, or 8 in its decimal representation.
The sum of the unitary divisors of 65536 is prime.
65536 is an untouchable number.
In computing
65,536 is the number of different values representable in a number of 16 binary digits, also known as an unsigned short integer in many computer programming systems.- A 65,536-bit integer can represent up to 265,536 values.
- 65,536 is the number of characters in the original Unicode, and currently in a Unicode plane.
- The Motorola 68000 family, x86 architecture, and other computing platforms have a word size of 16 bits, representing 65536 possible values.
- Many modern CPUs allow a memory page size of 64KiB to be configured in their memory-management hardware.
- The default buffer size of a Unix pipeline is 64KiB.
- 65536 is the maximum number of spreadsheet rows supported by Excel 97, Excel 2000, Excel 2002 and Excel 2003. Text files that are larger than 65536 rows cannot be imported to these versions of Excel..
- A 16-bit microprocessor chip can directly access 65536 memory addresses, and the 16-bit highcolor graphics standard supports a color palette of 65536 different colors.
- The maximum number of methods allowed in a single dex file Android application is 65536.
- The limit for the amount of code in bytes for a non-native, non-abstract method in Java.
- The number of available ports to combine with a network address to create a network socket.
- The maximum character limit for one message in WhatsApp is 65536.