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23027569920 = 283351036469
BaseRepresentation
bin10101011100100011…
…001101010100000000
32012102211102202102000
4111130203031110000
5334130024214140
614325000424000
71443434054235
oct253443152400
965384382360
1023027569920
119847510123
124567a78000
13222c9c3024
14118642778c
158eb958a30
hex55c8cd500

23027569920 has 288 divisors, whose sum is σ = 82522003200. Its totient is φ = 6080126976.

The previous prime is 23027569909. The next prime is 23027569921. The reversal of 23027569920 is 2996572032.

It is a happy number.

23027569920 is a `hidden beast` number, since 230 + 275 + 69 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23027569921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3556446 + ... + 3562914.

Almost surely, 223027569920 is an apocalyptic number.

23027569920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23027569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41261001600).

23027569920 is an abundant number, since it is smaller than the sum of its proper divisors (59494433280).

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

23027569920 is a wasteful number, since it uses less digits than its factorization.

23027569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6602 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 23027569920 in words is "twenty-three billion, twenty-seven million, five hundred sixty-nine thousand, nine hundred twenty".