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23117314968 = 233211294389263
BaseRepresentation
bin10101100001111001…
…100011101110011000
32012200002022021110200
4111201321203232120
5334321013034333
614341524142200
71445603635506
oct254171435630
965602267420
1023117314968
119893137990
124591b37960
132245485bc7
141194309676
15904784c13
hex561e63b98

23117314968 has 384 divisors, whose sum is σ = 73389888000. Its totient is φ = 6507325440.

The previous prime is 23117314967. The next prime is 23117314981. The reversal of 23117314968 is 86941371132.

23117314968 is a `hidden beast` number, since 231 + 17 + 314 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23117314963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87898405 + ... + 87898667.

It is an arithmetic number, because the mean of its divisors is an integer number (191119500).

Almost surely, 223117314968 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 23117314968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36694944000).

23117314968 is an abundant number, since it is smaller than the sum of its proper divisors (50272573032).

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

23117314968 is a wasteful number, since it uses less digits than its factorization.

23117314968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 440 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 23117314968 in words is "twenty-three billion, one hundred seventeen million, three hundred fourteen thousand, nine hundred sixty-eight".