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23164517376 = 210367111331
BaseRepresentation
bin10101100100101101…
…100111110000000000
32012210101010102000000
4111210231213300000
5334420104024001
614350332000000
71450016102040
oct254455476000
965711112000
1023164517376
119907847840
1245a5900000
1322521a1b20
14119a6b5720
159089aaa86
hex564b67c00

23164517376 has 1232 divisors, whose sum is σ = 96224851968. Its totient is φ = 5374771200.

The previous prime is 23164517371. The next prime is 23164517399. The reversal of 23164517376 is 67371546132.

23164517376 is a `hidden beast` number, since 2 + 3 + 1 + 64 + 517 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23164517371) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 747242481 + ... + 747242511.

Almost surely, 223164517376 is an apocalyptic number.

23164517376 is a gapful number since it is divisible by the number (26) 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 23164517376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48112425984).

23164517376 is an abundant number, since it is smaller than the sum of its proper divisors (73060334592).

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

23164517376 is a wasteful number, since it uses less digits than its factorization.

23164517376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 23164517376 in words is "twenty-three billion, one hundred sixty-four million, five hundred seventeen thousand, three hundred seventy-six".