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23730538068 = 223217312157257
BaseRepresentation
bin10110000110011100…
…110100011001010100
32021020211012020102100
4112012130310121110
5342100004204233
614522431442100
71500031150116
oct260634643124
967224166370
1023730538068
11a0782a7536
124723386330
132312531403
1412119353b6
1593d515813
hex586734654

23730538068 has 216 divisors, whose sum is σ = 66304031976. Its totient is φ = 7130972160.

The previous prime is 23730538063. The next prime is 23730538127. The reversal of 23730538068 is 86083503732.

23730538068 is a `hidden beast` number, since 23 + 7 + 30 + 538 + 0 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11358870084 + 12371667984 = 106578^2 + 111228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23730538061) 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, 92336596 + ... + 92336852.

It is an arithmetic number, because the mean of its divisors is an integer number (306963111).

Almost surely, 223730538068 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 23730538068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33152015988).

23730538068 is an abundant number, since it is smaller than the sum of its proper divisors (42573493908).

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

23730538068 is a wasteful number, since it uses less digits than its factorization.

23730538068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 23730538068 in words is "twenty-three billion, seven hundred thirty million, five hundred thirty-eight thousand, sixty-eight".