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23272759296 = 21338433
BaseRepresentation
bin10101101011001010…
…100010000000000000
32020001220210200000000
4111223022202000000
5340130311244141
614405200000000
71452502122123
oct255312420000
966056720000
1023272759296
119962958576
124616000000
13226b73cbb7
1411aac103ba
1591323c5b6
hex56b2a2000

23272759296 has 252 divisors, whose sum is σ = 69971694702. Its totient is φ = 7739670528.

The previous prime is 23272759283. The next prime is 23272759309. The reversal of 23272759296 is 69295727232.

23272759296 is a `hidden beast` number, since 2 + 3 + 27 + 27 + 592 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (23272759283) and next prime (23272759309).

It can be written as a sum of positive squares in only one way, i.e., 22600912896 + 671846400 = 150336^2 + 25920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53747496 + ... + 53747928.

Almost surely, 223272759296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23272759296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34985847351).

23272759296 is an abundant number, since it is smaller than the sum of its proper divisors (46698935406).

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

23272759296 is an frugal number, since it uses more digits than its factorization.

23272759296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 438 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 23272759296 in words is "twenty-three billion, two hundred seventy-two million, seven hundred fifty-nine thousand, two hundred ninety-six".