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18683329978368 = 213331122933533
BaseRepresentation
bin1000011111110000011010…
…01111110010000000000000
32110011002221101112012202000
410033320031033302000000
54422101424433301433
6103423000414024000
73635553222344106
oct417701517620000
973132841465660
1018683329978368
115a53612776970
122118b554a8000
13a56aa468c193
144883c6b6bc76
15225ee271a113
hex10fe0d3f2000

18683329978368 has 448 divisors, whose sum is σ = 60652382428800. Its totient is φ = 5636723834880.

The previous prime is 18683329978351. The next prime is 18683329978429. The reversal of 18683329978368 is 86387992338681.

18683329978368 is a `hidden beast` number, since 1 + 8 + 68 + 332 + 9 + 97 + 83 + 68 = 666.

It is a super-2 number, since 2×186833299783682 (a number of 27 digits) contains 22 as substring.

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, 557145730 + ... + 557179262.

Almost surely, 218683329978368 is an apocalyptic number.

18683329978368 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 18683329978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326191214400).

18683329978368 is an abundant number, since it is smaller than the sum of its proper divisors (41969052450432).

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

18683329978368 is a wasteful number, since it uses less digits than its factorization.

18683329978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33808 (or 33778 counting only the distinct ones).

The product of its digits is 4514807808, while the sum is 81.

The spelling of 18683329978368 in words is "eighteen trillion, six hundred eighty-three billion, three hundred twenty-nine million, nine hundred seventy-eight thousand, three hundred sixty-eight".