Sixteen (16) is a positive integer one more than 15 and one less than 17.

## PropertiesEdit

A base 16 system is called hexadecimal. The digits most commonly used to represent it are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. A digit in hexadecimal corresponds to a string of four digits in binary. 16 is the fourth square number (between 9 and 25) and the second fourth power (between 1 and 81). It is the only number that is equal to both x^y and y^x where both are positive integers.

16 is the third power of two, between 8 and 32. Being the 4th power of two, which is itslef a power of two, it shows up frequently in computer science, such as the hexadecimal number system.

It is the only integer that can be expressed as both x^{y} and y^{x} where x and y are distinct integers.

## In googology Edit

In Greek-based number-naming systems, is associated with prefix "**hexadeka-**", and with prefix "**sexdec-**" in Latin systems.

16 is expressible as 2↑↑3 in up-arrow notation, or as 2^{4} and 4^{2}. It occurs naturally when working with powers of 2.

It can be named **trwo** with the -wo series.

It can be named "garfour" with the gar- prefix.

16 can be called "googoij" using the googo- naming system.^{[1]}

Sbiis Saibian calls the number **hexaxis**, and it's equal to 10+10 using the addition

### Googological functions returning 16 Edit

- Big Ass Number: \(ban(2) = 16\)
- Really Big Ass Number: \(rban(2) = 16\)