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18840064320 = 2633571128319
BaseRepresentation
bin10001100010111101…
…001001000101000000
31210121222220102122000
4101202331021011000
5302041024024240
612353251544000
71234605622140
oct214275110500
953558812560
1018840064320
117a987a81a0
1237995bb000
131a132a036c
14caa224920
15753ee6430
hex462f49140

18840064320 has 448 divisors, whose sum is σ = 82866585600. Its totient is φ = 3914680320.

The previous prime is 18840064307. The next prime is 18840064363. The reversal of 18840064320 is 2346004881.

18840064320 is a `hidden beast` number, since 1 + 8 + 8 + 4 + 0 + 0 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 651121 + ... + 679439.

Almost surely, 218840064320 is an apocalyptic number.

18840064320 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 18840064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41433292800).

18840064320 is an abundant number, since it is smaller than the sum of its proper divisors (64026521280).

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

18840064320 is a wasteful number, since it uses less digits than its factorization.

18840064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28363 (or 28347 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 18840064320 in words is "eighteen billion, eight hundred forty million, sixty-four thousand, three hundred twenty".