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23032311696 = 2432126472
BaseRepresentation
bin10101011100110101…
…010010111110010000
32012110011100122220100
4111130311102332100
5334132232433241
614325250212400
71443522263532
oct253465227620
965404318810
1023032311696
11984a159749
124569584100
132230993404
141186cdd852
158ec0939b6
hex55cd52f90

23032311696 has 45 divisors (see below), whose sum is σ = 64463580571. Its totient is φ = 7676830176.

The previous prime is 23032311661. The next prime is 23032311713. The reversal of 23032311696 is 69611323032.

It is a happy number.

The square root of 23032311696 is 151764.

It is a perfect power (a square), and thus also a powerful number.

23032311696 is a `hidden beast` number, since 230 + 323 + 1 + 16 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23032311696.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1814845 + ... + 1827491.

Almost surely, 223032311696 is an apocalyptic number.

23032311696 is the 151764-th square number.

It is an amenable number.

23032311696 is an abundant number, since it is smaller than the sum of its proper divisors (41431268875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23032311696 is an frugal number, since it uses more digits than its factorization.

23032311696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25308 (or 12652 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Multiplying 23032311696 by its sum of digits (36), we get a square (829163221056 = 9105842).

23032311696 divided by its sum of digits (36) gives a square (639786436 = 252942).

The spelling of 23032311696 in words is "twenty-three billion, thirty-two million, three hundred eleven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12647 25294 37941 50588 75882 101176 113823 151764 202352 227646 303528 455292 607056 910584 1821168 159946609 319893218 479839827 639786436 959679654 1279572872 1439519481 1919359308 2559145744 2879038962 3838718616 5758077924 7677437232 11516155848 23032311696