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18839731680 = 2535572112931
BaseRepresentation
bin10001100010111011…
…110111110111100000
31210121222021112100000
4101202323313313200
5302040432403210
612353240500000
71234603035300
oct214273676740
953558245300
1018839731680
117a985a0290
12379947a600
131a131b4b33
14caa179600
15753e7cac0
hex462ef7de0

18839731680 has 1728 divisors, whose sum is σ = 90348410880. Its totient is φ = 3657830400.

The previous prime is 18839731667. The next prime is 18839731727. The reversal of 18839731680 is 8613793881.

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 287 ways as a sum of consecutive naturals, for example, 607733265 + ... + 607733295.

It is an arithmetic number, because the mean of its divisors is an integer number (52284960).

Almost surely, 218839731680 is an apocalyptic number.

18839731680 is a gapful number since it is divisible by the number (10) 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 18839731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45174205440).

18839731680 is an abundant number, since it is smaller than the sum of its proper divisors (71508679200).

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

18839731680 is a wasteful number, since it uses less digits than its factorization.

18839731680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 18839731680 in words is "eighteen billion, eight hundred thirty-nine million, seven hundred thirty-one thousand, six hundred eighty".