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18714183768 = 23327437191201
BaseRepresentation
bin10001011011011100…
…111100100001011000
31210022020001000222100
4101123130330201120
5301311312340033
612332553523400
71231516636350
oct213334744130
953266030870
1018714183768
117a3373a285
123763413560
1319c3197927
14c97617b60
15747e2d513
hex45b73c858

18714183768 has 192 divisors, whose sum is σ = 59403801600. Its totient is φ = 5210956800.

The previous prime is 18714183707. The next prime is 18714183769. The reversal of 18714183768 is 86738141781.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18714183769) 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, 15581568 + ... + 15582768.

It is an arithmetic number, because the mean of its divisors is an integer number (309394800).

Almost surely, 218714183768 is an apocalyptic number.

18714183768 is a gapful number since it is divisible by the number (18) 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 18714183768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29701900800).

18714183768 is an abundant number, since it is smaller than the sum of its proper divisors (40689617832).

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

18714183768 is a wasteful number, since it uses less digits than its factorization.

18714183768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1975 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The spelling of 18714183768 in words is "eighteen billion, seven hundred fourteen million, one hundred eighty-three thousand, seven hundred sixty-eight".