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18186875136 = 28332631203
BaseRepresentation
bin10000111100000001…
…011011000100000000
31201221110210222112000
4100330001123010000
5244221320001021
612204355504000
71212454613403
oct207401330400
951843728460
1018186875136
117793020521
1236368b8000
13193ab708a1
14c47593d3a
157169bdb26
hex43c05b100

18186875136 has 72 divisors (see below), whose sum is σ = 53781809760. Its totient is φ = 6062289408.

The previous prime is 18186875117. The next prime is 18186875137. The reversal of 18186875136 is 63157868181.

It is a tau number, because it is divible by the number of its divisors (72).

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 (18186875137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1308690 + ... + 1322513.

It is an arithmetic number, because the mean of its divisors is an integer number (746969580).

Almost surely, 218186875136 is an apocalyptic number.

18186875136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18186875136 is an abundant number, since it is smaller than the sum of its proper divisors (35594934624).

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

18186875136 is an equidigital number, since it uses as much as digits as its factorization.

18186875136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631228 (or 2631208 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 18186875136 in words is "eighteen billion, one hundred eighty-six million, eight hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 2631203 5262406 7893609 10524812 15787218 21049624 23680827 31574436 42099248 47361654 63148872 71042481 84198496 94723308 126297744 142084962 168396992 189446616 252595488 284169924 336793984 378893232 505190976 568339848 673587968 757786464 1010381952 1136679696 1515572928 2020763904 2273359392 3031145856 4546718784 6062291712 9093437568 18186875136