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23856568320 = 2113513314147
BaseRepresentation
bin10110001101111101…
…100101100000000000
32021120121100020102110
4112031331211200000
5342324240141240
614543133015320
71503121325214
oct261575454000
967517306373
1023856568320
11a132457972
124759624540
13233268a020
141224580944
1594960cc80
hex58df65800

23856568320 has 768 divisors, whose sum is σ = 88763351040. Its totient is φ = 5426380800.

The previous prime is 23856568319. The next prime is 23856568327. The reversal of 23856568320 is 2386565832.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23856568320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23856568327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507586537 + ... + 507586583.

It is an arithmetic number, because the mean of its divisors is an integer number (115577280).

Almost surely, 223856568320 is an apocalyptic number.

23856568320 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 23856568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44381675520).

23856568320 is an abundant number, since it is smaller than the sum of its proper divisors (64906782720).

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

23856568320 is a wasteful number, since it uses less digits than its factorization.

23856568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 23856568320 in words is "twenty-three billion, eight hundred fifty-six million, five hundred sixty-eight thousand, three hundred twenty".