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10117693656 = 23327241113619
BaseRepresentation
bin10010110110000111…
…11100000011011000
3222010010020002110200
421123003330003120
5131210112144111
64351545142200
7505503656100
oct113303740330
928103202420
1010117693656
1143221a0aa4
121b6448a960
13c531b76a5
146bda3c200
153e33aa256
hex25b0fc0d8

10117693656 has 288 divisors, whose sum is σ = 32995544400. Its totient is φ = 2790789120.

The previous prime is 10117693601. The next prime is 10117693661. The reversal of 10117693656 is 65639671101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16344915 + ... + 16345533.

Almost surely, 210117693656 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 10117693656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497772200).

10117693656 is an abundant number, since it is smaller than the sum of its proper divisors (22877850744).

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

10117693656 is a wasteful number, since it uses less digits than its factorization.

10117693656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10117693656 in words is "ten billion, one hundred seventeen million, six hundred ninety-three thousand, six hundred fifty-six".