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18837891072 = 21132711131021
BaseRepresentation
bin10001100010110100…
…110110100000000000
31210121211211000111100
4101202310312200000
5302040000003242
612353133214400
71234551301140
oct214264664000
953554730440
1018837891072
117a97553420
123798931400
131a129bc110
14ca9c1a920
15753c1754c
hex462d36800

18837891072 has 576 divisors, whose sum is σ = 73121892480. Its totient is φ = 4512153600.

The previous prime is 18837891049. The next prime is 18837891091. The reversal of 18837891072 is 27019873881.

It is a happy number.

18837891072 is a `hidden beast` number, since 188 + 378 + 91 + 0 + 7 + 2 = 666.

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

It is a super-2 number, since 2×188378910722 (a number of 21 digits) contains 22 as substring.

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, 18449922 + ... + 18450942.

It is an arithmetic number, because the mean of its divisors is an integer number (126947730).

Almost surely, 218837891072 is an apocalyptic number.

18837891072 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 18837891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560946240).

18837891072 is an abundant number, since it is smaller than the sum of its proper divisors (54284001408).

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

18837891072 is a wasteful number, since it uses less digits than its factorization.

18837891072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

It can be divided in two parts, 18837 and 891072, that added together give a palindrome (909909).

The spelling of 18837891072 in words is "eighteen billion, eight hundred thirty-seven million, eight hundred ninety-one thousand, seventy-two".