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18013387392 = 27337111341127
BaseRepresentation
bin10000110001101011…
…100111101010000000
31201111101100220002000
4100301223213222000
5243342411344032
612135241224000
71205250160260
oct206153475200
951441326060
1018013387392
1177040a6620
1235a8792000
131910c39c10
14c2c5137a0
1570664ee7c
hex431ae7a80

18013387392 has 1024 divisors, whose sum is σ = 73698508800. Its totient is φ = 4180377600.

The previous prime is 18013387297. The next prime is 18013387397. The reversal of 18013387392 is 29378331081.

It is a happy number.

18013387392 is a `hidden beast` number, since 180 + 1 + 3 + 3 + 87 + 392 = 666.

It is not an unprimeable number, because it can be changed into a prime (18013387397) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141837633 + ... + 141837759.

It is an arithmetic number, because the mean of its divisors is an integer number (71971200).

Almost surely, 218013387392 is an apocalyptic number.

18013387392 is a gapful number since it is divisible by the number (12) 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 18013387392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36849254400).

18013387392 is an abundant number, since it is smaller than the sum of its proper divisors (55685121408).

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

18013387392 is a wasteful number, since it uses less digits than its factorization.

18013387392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 18013387392 in words is "eighteen billion, thirteen million, three hundred eighty-seven thousand, three hundred ninety-two".