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23355216864 = 2533715592477
BaseRepresentation
bin10101110000000101…
…000101001111100000
32020021122221221112000
4111300011011033200
5340312413414424
614421303204000
71454523032160
oct256005051740
966248857460
1023355216864
1199a5458121
124639746600
132282850a65
1411b7b565a0
1591a5c93c9
hex5701453e0

23355216864 has 192 divisors, whose sum is σ = 77932108800. Its totient is φ = 6665946624.

The previous prime is 23355216839. The next prime is 23355216887. The reversal of 23355216864 is 46861255332.

23355216864 is a `hidden beast` number, since 2 + 3 + 3 + 5 + 521 + 68 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9427594 + ... + 9430070.

It is an arithmetic number, because the mean of its divisors is an integer number (405896400).

Almost surely, 223355216864 is an apocalyptic number.

23355216864 is a gapful number since it is divisible by the number (24) 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 23355216864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38966054400).

23355216864 is an abundant number, since it is smaller than the sum of its proper divisors (54576891936).

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

23355216864 is a wasteful number, since it uses less digits than its factorization.

23355216864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4048 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 23355216864 in words is "twenty-three billion, three hundred fifty-five million, two hundred sixteen thousand, eight hundred sixty-four".