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18326153664 = 2633721316649
BaseRepresentation
bin10001000100010100…
…101110100111000000
31202022011220001202000
4101010110232213000
5300012443404124
612230253024000
71216065510300
oct210424564700
952264801660
1018326153664
1178546aa545
123675485000
131960987710
14c5bc8b600
15723d316c9
hex44452e9c0

18326153664 has 336 divisors, whose sum is σ = 67496436000. Its totient is φ = 4832980992.

The previous prime is 18326153609. The next prime is 18326153683. The reversal of 18326153664 is 46635162381.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1092412 + ... + 1109060.

It is an arithmetic number, because the mean of its divisors is an integer number (200882250).

Almost surely, 218326153664 is an apocalyptic number.

18326153664 is a gapful number since it is divisible by the number (14) 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 18326153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33748218000).

18326153664 is an abundant number, since it is smaller than the sum of its proper divisors (49170282336).

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

18326153664 is a wasteful number, since it uses less digits than its factorization.

18326153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16697 (or 16674 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 18326153664 in words is "eighteen billion, three hundred twenty-six million, one hundred fifty-three thousand, six hundred sixty-four".