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18639194112 = 2113271123571
BaseRepresentation
bin10001010110111110…
…111000100000000000
31210002222221011111200
4101112332320200000
5301133113202422
612321314341200
71226616351540
oct212676704000
953088834450
1018639194112
1179a5380460
12374228a800
1319b079cc56
14c8b697320
157415692ac
hex456fb8800

18639194112 has 576 divisors, whose sum is σ = 70157767680. Its totient is φ = 4622745600.

The previous prime is 18639194087. The next prime is 18639194149. The reversal of 18639194112 is 21149193681.

18639194112 is a `hidden beast` number, since 1 + 8 + 639 + 1 + 9 + 4 + 1 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32642787 + ... + 32643357.

It is an arithmetic number, because the mean of its divisors is an integer number (121801680).

Almost surely, 218639194112 is an apocalyptic number.

18639194112 is a gapful number since it is divisible by the number (12) 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 18639194112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35078883840).

18639194112 is an abundant number, since it is smaller than the sum of its proper divisors (51518573568).

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

18639194112 is a wasteful number, since it uses less digits than its factorization.

18639194112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 617 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 18639194112 in words is "eighteen billion, six hundred thirty-nine million, one hundred ninety-four thousand, one hundred twelve".