536870911

536,870,911 is a natural number that can be expressed as 2^29 − 1. It is the maximum value representable by a 29-bit unsigned integer, and in binary is written as 29 consecutive ones (11111111111111111111111111111). In hexadecimal, it appears as 0x1FFFFFFF.

As a Mersenne number with exponent p = 29, 536,870,911 is part of a broad class of numbers of the form 2^p − 1. While primes of this form (Mersenne primes) are of particular interest in number theory, not all Mersenne numbers are prime. 536,870,911 is composite; it factors as 233 × 2,304,167, meaning it has at least these two nontrivial divisors.

This number often appears in discussions of fixed-width integer representations and bit-level operations due to its status as a maximal 29-bit value. It also serves as an example in the study of Mersenne numbers to illustrate that primality is not guaranteed by a prime exponent alone.

In summary, 536,870,911 is 2^29 − 1, the largest 29-bit unsigned integer, and a composite Mersenne number with a known factorization into 233 and 2,304,167.