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38975158656 = 273275391193
BaseRepresentation
bin100100010011000110…
…011011100110000000
310201121020122012110200
4210103012123212000
51114310120034111
625523244525200
72546561245110
oct442306334600
9121536565420
1038975158656
1115590508625
127678850800
1338a1958475
141c5a435040
151031a4a256
hex91319b980

38975158656 has 192 divisors, whose sum is σ = 130597103520. Its totient is φ = 10925531136.

The previous prime is 38975158639. The next prime is 38975158711. The reversal of 38975158656 is 65685157983.

38975158656 is a `hidden beast` number, since 38 + 9 + 7 + 515 + 86 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 38975158593 and 38975158602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381796 + ... + 472988.

Almost surely, 238975158656 is an apocalyptic number.

38975158656 is a gapful number since it is divisible by the number (36) 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 38975158656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65298551760).

38975158656 is an abundant number, since it is smaller than the sum of its proper divisors (91621944864).

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

38975158656 is a wasteful number, since it uses less digits than its factorization.

38975158656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91273 (or 91258 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 38975158656 in words is "thirty-eight billion, nine hundred seventy-five million, one hundred fifty-eight thousand, six hundred fifty-six".