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38748631442016 = 253428394240387
BaseRepresentation
bin10001100111101110111100…
…11010011010001001100000
312002012022222202012210002110
420303313132122122021200
520034324144122121031
6214224513041115320
711106332131564656
oct1063673632321140
9162168882183073
1038748631442016
111138a225302081
1244198b2328b40
131880c9884ca22
1497d62d9b4dd6
15472e1a457c46
hex233dde69a260

38748631442016 has 48 divisors (see below), whose sum is σ = 101738907192384. Its totient is φ = 12913194651264.

The previous prime is 38748631441987. The next prime is 38748631442063. The reversal of 38748631442016 is 61024413684783.

38748631442016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46709026 + ... + 47531361.

It is an arithmetic number, because the mean of its divisors is an integer number (2119560566508).

Almost surely, 238748631442016 is an apocalyptic number.

It is an amenable number.

38748631442016 is an abundant number, since it is smaller than the sum of its proper divisors (62990275750368).

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

38748631442016 is a wasteful number, since it uses less digits than its factorization.

38748631442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94244683 (or 94244675 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 38748631442016 in words is "thirty-eight trillion, seven hundred forty-eight billion, six hundred thirty-one million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4283 8566 12849 17132 25698 34264 51396 68528 102792 137056 205584 411168 94240387 188480774 282721161 376961548 565442322 753923096 1130884644 1507846192 2261769288 3015692384 4523538576 9047077152 403631577521 807263155042 1210894732563 1614526310084 2421789465126 3229052620168 4843578930252 6458105240336 9687157860504 12916210480672 19374315721008 38748631442016