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18324360000 = 26335419247
BaseRepresentation
bin10001000100001101…
…111000101101000000
31202022001111221022000
4101010031320231000
5300012014010000
612230150344000
71216044330042
oct210415705500
952261457260
1018324360000
117853694981
12367495b000
1319604aa18b
14c5b941a92
15723aca000
hex444378b40

18324360000 has 840 divisors, whose sum is σ = 72557274240. Its totient is φ = 4530816000.

The previous prime is 18324359951. The next prime is 18324360013. The reversal of 18324360000 is 6342381.

It is a happy number.

18324360000 is a `hidden beast` number, since 18 + 3 + 2 + 43 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 389879977 + ... + 389880023.

Almost surely, 218324360000 is an apocalyptic number.

18324360000 is a gapful number since it is divisible by the number (10) 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 18324360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36278637120).

18324360000 is an abundant number, since it is smaller than the sum of its proper divisors (54232914240).

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

18324360000 is an equidigital number, since it uses as much as digits as its factorization.

18324360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 18324360000 in words is "eighteen billion, three hundred twenty-four million, three hundred sixty thousand".