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18294185536 = 26112292532
BaseRepresentation
bin10001000010011010…
…110001111001000000
31202012221201220201021
4101002122301321000
5244431302414121
612223151515224
71215230003614
oct210232617100
952187656637
1018294185536
117838655400
123666828b14
131957173973
14c57929344
15721119641
hex4426b1e40

18294185536 has 189 divisors, whose sum is σ = 42120630643. Its totient is φ = 7877309440.

The previous prime is 18294185509. The next prime is 18294185557. The reversal of 18294185536 is 63558149281.

It is a happy number.

The square root of 18294185536 is 135256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1147854400 + 17146331136 = 33880^2 + 130944^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 345173286 + ... + 345173338.

Almost surely, 218294185536 is an apocalyptic number.

18294185536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18294185536 is the 135256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18294185536

18294185536 is an abundant number, since it is smaller than the sum of its proper divisors (23826445107).

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

18294185536 is an equidigital number, since it uses as much as digits as its factorization.

18294185536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 95 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The spelling of 18294185536 in words is "eighteen billion, two hundred ninety-four million, one hundred eighty-five thousand, five hundred thirty-six".