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18725564144 = 2476722710993
BaseRepresentation
bin10001011100001000…
…010110111011110000
31210100000110012220202
4101130020112323300
5301322221023034
612334041454332
71232015445320
oct213410267360
953300405822
1018725564144
117a3a102551
1237671a13a8
1319c5650891
14c98d3b280
15748e2a47e
hex45c216ef0

18725564144 has 80 divisors (see below), whose sum is σ = 42271842048. Its totient is φ = 7869920256.

The previous prime is 18725564089. The next prime is 18725564153. The reversal of 18725564144 is 44146552781.

It is a super-2 number, since 2×187255641442 (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 15 ways as a sum of consecutive naturals, for example, 1697912 + ... + 1708904.

Almost surely, 218725564144 is an apocalyptic number.

18725564144 is a gapful number since it is divisible by the number (14) 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 18725564144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21135921024).

18725564144 is an abundant number, since it is smaller than the sum of its proper divisors (23546277904).

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

18725564144 is a wasteful number, since it uses less digits than its factorization.

18725564144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302 (or 11296 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 47.

The spelling of 18725564144 in words is "eighteen billion, seven hundred twenty-five million, five hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 227 268 454 469 536 908 938 1072 1589 1816 1876 3178 3632 3752 6356 7504 10993 12712 15209 21986 25424 30418 43972 60836 76951 87944 106463 121672 153902 175888 212926 243344 307804 425852 615608 736531 851704 1231216 1473062 1703408 2495411 2946124 4990822 5155717 5892248 9981644 10311434 11784496 17467877 19963288 20622868 34935754 39926576 41245736 69871508 82491472 139743016 167192537 279486032 334385074 668770148 1170347759 1337540296 2340695518 2675080592 4681391036 9362782072 18725564144