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18438007392 = 25327313307
BaseRepresentation
bin10001001010111111…
…011010101001100000
31202120222100211012200
4101022333122221200
5300230112214032
612245330253200
71221624322410
oct211277325140
952528324180
1018438007392
117901857942
1236a6a27200
13197abbb75c
14c6ca86640
1572da7847c
hex44afdaa60

18438007392 has 288 divisors, whose sum is σ = 62122604544. Its totient is φ = 5081460480.

The previous prime is 18438007387. The next prime is 18438007397. The reversal of 18438007392 is 29370083481.

18438007392 is a `hidden beast` number, since 184 + 3 + 80 + 0 + 7 + 392 = 666.

It is an interprime number because it is at equal distance from previous prime (18438007387) and next prime (18438007397).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18438007397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60058503 + ... + 60058809.

It is an arithmetic number, because the mean of its divisors is an integer number (215703488).

Almost surely, 218438007392 is an apocalyptic number.

18438007392 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 18438007392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31061302272).

18438007392 is an abundant number, since it is smaller than the sum of its proper divisors (43684597152).

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

18438007392 is an equidigital number, since it uses as much as digits as its factorization.

18438007392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 18438007392 in words is "eighteen billion, four hundred thirty-eight million, seven thousand, three hundred ninety-two".