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23088865968 = 24347192931149
BaseRepresentation
bin10101100000001101…
…000010001010110000
32012121002202220210000
4111200031002022300
5334241222202333
614335030310000
71445110060020
oct254015021260
965532686700
1023088865968
119879076813
1245844b8300
13223c604b8c
141190621a80
15902015713
hex5603422b0

23088865968 has 800 divisors, whose sum is σ = 86423040000. Its totient is φ = 5800273920.

The previous prime is 23088865967. The next prime is 23088865973. The reversal of 23088865968 is 86956888032.

23088865968 is a `hidden beast` number, since 2 + 30 + 8 + 8 + 8 + 6 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (23088865963) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 154958758 + ... + 154958906.

It is an arithmetic number, because the mean of its divisors is an integer number (108028800).

Almost surely, 223088865968 is an apocalyptic number.

23088865968 is a gapful number since it is divisible by the number (28) 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 23088865968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43211520000).

23088865968 is an abundant number, since it is smaller than the sum of its proper divisors (63334174032).

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

23088865968 is a wasteful number, since it uses less digits than its factorization.

23088865968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 23088865968 in words is "twenty-three billion, eighty-eight million, eight hundred sixty-five thousand, nine hundred sixty-eight".