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18556020828 = 22328317335897
BaseRepresentation
bin10001010010000001…
…100110100001011100
31202220012102112012200
4101102001212201130
5301000320131303
612305143531500
71224556401042
oct212201464134
952805375180
1018556020828
117962432104
12371a459b90
13199949b3a7
14c80606392
157390da3a3
hex45206685c

18556020828 has 72 divisors (see below), whose sum is σ = 47746350288. Its totient is φ = 6075326208.

The previous prime is 18556020739. The next prime is 18556020869. The reversal of 18556020828 is 82802065581.

18556020828 is a `hidden beast` number, since 1 + 8 + 5 + 560 + 2 + 0 + 82 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 498976 + ... + 534872.

It is an arithmetic number, because the mean of its divisors is an integer number (663143754).

Almost surely, 218556020828 is an apocalyptic number.

18556020828 is a gapful number since it is divisible by the number (18) 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 18556020828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23873175144).

18556020828 is an abundant number, since it is smaller than the sum of its proper divisors (29190329460).

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

18556020828 is a wasteful number, since it uses less digits than its factorization.

18556020828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36163 (or 36158 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 18556020828 in words is "eighteen billion, five hundred fifty-six million, twenty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 173 249 332 346 498 519 692 747 996 1038 1494 1557 2076 2988 3114 6228 14359 28718 35897 43077 57436 71794 86154 107691 129231 143588 172308 215382 258462 323073 430764 516924 646146 1292292 2979451 5958902 6210181 8938353 11917804 12420362 17876706 18630543 24840724 26815059 35753412 37261086 53630118 55891629 74522172 107260236 111783258 223566516 515445023 1030890046 1546335069 2061780092 3092670138 4639005207 6185340276 9278010414 18556020828