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18942315392 = 27711131931251
BaseRepresentation
bin10001101001000011…
…001100101110000000
31210220010022022201202
4101221003030232000
5302243213043032
612411343320332
71240260011210
oct215103145600
953803268652
1018942315392
118040496a10
1238078b00a8
131a2b521660
14cb9a40240
1575ce92d62
hex4690ccb80

18942315392 has 512 divisors, whose sum is σ = 55273881600. Its totient is φ = 6220800000.

The previous prime is 18942315383. The next prime is 18942315397. The reversal of 18942315392 is 29351324981.

It is a super-3 number, since 3×189423153923 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18942315397) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 75467267 + ... + 75467517.

It is an arithmetic number, because the mean of its divisors is an integer number (107956800).

Almost surely, 218942315392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18942315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27636940800).

18942315392 is an abundant number, since it is smaller than the sum of its proper divisors (36331566208).

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

18942315392 is a wasteful number, since it uses less digits than its factorization.

18942315392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The spelling of 18942315392 in words is "eighteen billion, nine hundred forty-two million, three hundred fifteen thousand, three hundred ninety-two".