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9957192864 = 253791312921
BaseRepresentation
bin10010100010111111…
…01011010010100000
3221200221012210202220
421101133223102200
5130343020132424
64324013111040
7501514512543
oct112137532240
927627183686
109957192864
11424a637413
121b1a788480
13c28b7ccc8
146a65bc85a
153d4254579
hex2517eb4a0

9957192864 has 48 divisors (see below), whose sum is σ = 26468507520. Its totient is φ = 3277048320.

The previous prime is 9957192853. The next prime is 9957192907. The reversal of 9957192864 is 4682917599.

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

It is a junction number, because it is equal to n+sod(n) for n = 9957192798 and 9957192807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 648877 + ... + 664044.

It is an arithmetic number, because the mean of its divisors is an integer number (551427240).

Almost surely, 29957192864 is an apocalyptic number.

It is an amenable number.

9957192864 is an abundant number, since it is smaller than the sum of its proper divisors (16511314656).

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

9957192864 is a wasteful number, since it uses less digits than its factorization.

9957192864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313013 (or 1313005 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 60.

The square root of 9957192864 is about 99785.7347720605. The cubic root of 9957192864 is about 2151.3561203932.

The spelling of 9957192864 in words is "nine billion, nine hundred fifty-seven million, one hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 1312921 2625842 3938763 5251684 7877526 10503368 15755052 21006736 31510104 42013472 63020208 103720759 126040416 207441518 311162277 414883036 622324554 829766072 1244649108 1659532144 2489298216 3319064288 4978596432 9957192864