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112983965976 = 23372274934949
BaseRepresentation
bin110100100111001011…
…1101000000100011000
3101210122001021011011110
41221032113220010120
53322342343402401
6123523142300320
711106563602500
oct1511627500430
9353561234143
10112983965976
1143a095599a2
1219a921276a0
13a86778924b
14567b614a00
152e140709d6
hex1a4e5e8118

112983965976 has 96 divisors (see below), whose sum is σ = 328704750000. Its totient is φ = 32268466944.

The previous prime is 112983965971. The next prime is 112983965987. The reversal of 112983965976 is 679569389211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112983965971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3215350 + ... + 3250298.

Almost surely, 2112983965976 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 112983965976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164352375000).

112983965976 is an abundant number, since it is smaller than the sum of its proper divisors (215720784024).

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

112983965976 is a wasteful number, since it uses less digits than its factorization.

112983965976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37721 (or 37710 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 66.

The spelling of 112983965976 in words is "one hundred twelve billion, nine hundred eighty-three million, nine hundred sixty-five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2749 5498 8247 10996 16494 19243 21992 32988 34949 38486 57729 65976 69898 76972 104847 115458 134701 139796 153944 209694 230916 244643 269402 279592 404103 419388 461832 489286 538804 733929 808206 838776 978572 1077608 1467858 1616412 1712501 1957144 2935716 3232824 3425002 5137503 5871432 6850004 10275006 13700008 20550012 41100024 96074801 192149602 288224403 384299204 576448806 672523607 768598408 1152897612 1345047214 2017570821 2305795224 2690094428 4035141642 4707665249 5380188856 8070283284 9415330498 14122995747 16140566568 18830660996 28245991494 37661321992 56491982988 112983965976