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18918039168 = 2732721931569
BaseRepresentation
bin10001100111100110…
…100101111010000000
31210211102121222000100
4101213212211322000
5302221004223133
612405115122400
71236543452100
oct214746457200
953742558010
1018918039168
118028815916
1237bb743400
131a264a1a22
14cb6721200
1575ac99e13
hex4679a5e80

18918039168 has 576 divisors, whose sum is σ = 68930784000. Its totient is φ = 4946780160.

The previous prime is 18918039121. The next prime is 18918039181. The reversal of 18918039168 is 86193081981.

18918039168 is a `hidden beast` number, since 18 + 9 + 180 + 391 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33247588 + ... + 33248156.

It is an arithmetic number, because the mean of its divisors is an integer number (119671500).

Almost surely, 218918039168 is an apocalyptic number.

18918039168 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 18918039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34465392000).

18918039168 is an abundant number, since it is smaller than the sum of its proper divisors (50012744832).

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

18918039168 is a wasteful number, since it uses less digits than its factorization.

18918039168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 18918039168 in words is "eighteen billion, nine hundred eighteen million, thirty-nine thousand, one hundred sixty-eight".