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18494415072 = 25367373061
BaseRepresentation
bin10001001110010110…
…100110000011100000
31202201220111122000000
4101032112212003200
5300334032240242
612255103300000
71223210635320
oct211626460340
952656448000
1018494415072
117930684861
1237018aa600
1319897ab593
14c7636b280
157339bba4c
hex44e5a60e0

18494415072 has 336 divisors, whose sum is σ = 64097262432. Its totient is φ = 5139624960.

The previous prime is 18494415061. The next prime is 18494415089. The reversal of 18494415072 is 27051449481.

18494415072 is a `hidden beast` number, since 1 + 8 + 494 + 4 + 150 + 7 + 2 = 666.

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6040422 + ... + 6043482.

It is an arithmetic number, because the mean of its divisors is an integer number (190765662).

Almost surely, 218494415072 is an apocalyptic number.

18494415072 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 18494415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32048631216).

18494415072 is an abundant number, since it is smaller than the sum of its proper divisors (45602847360).

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

18494415072 is an equidigital number, since it uses as much as digits as its factorization.

18494415072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18494415072 in words is "eighteen billion, four hundred ninety-four million, four hundred fifteen thousand, seventy-two".