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18664905168 = 2434721323983
BaseRepresentation
bin10001011000100000…
…111101100111010000
31210011210022102110000
4101120200331213100
5301211203431133
612324033410000
71230351035100
oct213040754720
953153272400
1018664905168
117a08941568
12374aa09900
1319b5c029b0
14c90c6b200
15743947413
hex45883d9d0

18664905168 has 600 divisors, whose sum is σ = 70689725568. Its totient is φ = 4703795712.

The previous prime is 18664905157. The next prime is 18664905173. The reversal of 18664905168 is 86150946681.

18664905168 is a `hidden beast` number, since 1 + 86 + 6 + 49 + 0 + 516 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18987205 + ... + 18988187.

Almost surely, 218664905168 is an apocalyptic number.

18664905168 is a gapful number since it is divisible by the number (18) 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 18664905168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35344862784).

18664905168 is an abundant number, since it is smaller than the sum of its proper divisors (52024820400).

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

18664905168 is a wasteful number, since it uses less digits than its factorization.

18664905168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 18664905168 in words is "eighteen billion, six hundred sixty-four million, nine hundred five thousand, one hundred sixty-eight".