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18382928292 = 2234259321881
BaseRepresentation
bin10001000111101101…
…010011100110100100
31202110010201111220000
4101013231103212210
5300122012201132
612240041541300
71220355212061
oct210755234644
952403644800
1018382928292
117883758123
1236904a4830
13196c675581
14c65629c68
15728ce887c
hex447b539a4

18382928292 has 60 divisors (see below), whose sum is σ = 48077336076. Its totient is φ = 6124999680.

The previous prime is 18382928287. The next prime is 18382928299. The reversal of 18382928292 is 29282928381.

18382928292 is a `hidden beast` number, since 18 + 382 + 92 + 82 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4041907776 + 14341020516 = 63576^2 + 119754^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18382928299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829192 + ... + 851072.

Almost surely, 218382928292 is an apocalyptic number.

18382928292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18382928292 is an abundant number, since it is smaller than the sum of its proper divisors (29694407784).

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

18382928292 is a wasteful number, since it uses less digits than its factorization.

18382928292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24490 (or 24479 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 18382928292 in words is "eighteen billion, three hundred eighty-two million, nine hundred twenty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2593 5186 7779 10372 15558 21881 23337 31116 43762 46674 65643 70011 87524 93348 131286 140022 196929 210033 262572 280044 393858 420066 590787 787716 840132 1181574 1772361 2363148 3544722 7089444 56737433 113474866 170212299 226949732 340424598 510636897 680849196 1021273794 1531910691 2042547588 3063821382 4595732073 6127642764 9191464146 18382928292