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18993072384 = 28321113173391
BaseRepresentation
bin10001101100000100…
…110100100100000000
31211000122211001020100
4101230010310210000
5302344211304014
612420355242400
71241444310606
oct215404644400
954018731210
1018993072384
118067104440
1238208a9400
131a38bb3490
14cc2693876
1576266c009
hex46c134900

18993072384 has 432 divisors, whose sum is σ = 68139961344. Its totient is φ = 4998758400.

The previous prime is 18993072349. The next prime is 18993072403. The reversal of 18993072384 is 48327039981.

18993072384 is a `hidden beast` number, since 18 + 99 + 307 + 238 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18993072384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5599329 + ... + 5602719.

It is an arithmetic number, because the mean of its divisors is an integer number (157731392).

Almost surely, 218993072384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18993072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34069980672).

18993072384 is an abundant number, since it is smaller than the sum of its proper divisors (49146888960).

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

18993072384 is a wasteful number, since it uses less digits than its factorization.

18993072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 18993072384 in words is "eighteen billion, nine hundred ninety-three million, seventy-two thousand, three hundred eighty-four".