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23255963136 = 293872343
BaseRepresentation
bin10101101010001010…
…011101011000000000
32020000202012100000000
4111222022131120000
5340112011310021
614403400000000
71452206265540
oct255212353000
966022170000
1023255963136
11995442634a
124610460000
13226810bb43
1411a88bb320
15911a20b26
hex56a29d600

23255963136 has 720 divisors, whose sum is σ = 85048913664. Its totient is φ = 6207860736.

The previous prime is 23255963131. The next prime is 23255963183. The reversal of 23255963136 is 63136955232.

It is a happy number.

23255963136 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 5 + 9 + 631 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23255963091 and 23255963100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23255963131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 540836331 + ... + 540836373.

Almost surely, 223255963136 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 23255963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42524456832).

23255963136 is an abundant number, since it is smaller than the sum of its proper divisors (61792950528).

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

23255963136 is an frugal number, since it uses more digits than its factorization.

23255963136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The spelling of 23255963136 in words is "twenty-three billion, two hundred fifty-five million, nine hundred sixty-three thousand, one hundred thirty-six".