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112164720971784 = 233131970272692639
BaseRepresentation
bin11001100000001101100010…
…010110011001000000001000
3112201010211202020221222212220
4121200031202112121000020
5104200201322032044114
61034315432250534040
732424430230263145
oct3140154226310010
9481124666858786
10112164720971784
1132814877951108
12106b6336137320
134a7811ab96a70
141d9ab312d13cc
15ce79dd8690a9
hex660362599008

112164720971784 has 128 divisors (see below), whose sum is σ = 317921081856000. Its totient is φ = 32691124088064.

The previous prime is 112164720971777. The next prime is 112164720971813. The reversal of 112164720971784 is 487179027461211.

It is a super-2 number, since 2×1121647209717842 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40309737 + ... + 43002375.

It is an arithmetic number, because the mean of its divisors is an integer number (2483758452000).

Almost surely, 2112164720971784 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 112164720971784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158960540928000).

112164720971784 is an abundant number, since it is smaller than the sum of its proper divisors (205756360884216).

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

112164720971784 is a wasteful number, since it uses less digits than its factorization.

112164720971784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699707 (or 2699703 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 60.

The spelling of 112164720971784 in words is "one hundred twelve trillion, one hundred sixty-four billion, seven hundred twenty million, nine hundred seventy-one thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 7027 14054 21081 28108 42162 56216 84324 91351 133513 168648 182702 267026 274053 365404 400539 534052 548106 730808 801078 1068104 1096212 1602156 1735669 2192424 2692639 3204312 3471338 5207007 5385278 6942676 8077917 10414014 10770556 13885352 16155834 20828028 21541112 32311668 35004307 41656056 51160141 64623336 70008614 102320282 105012921 140017228 153480423 204640564 210025842 280034456 306960846 409281128 420051684 613921692 665081833 840103368 1227843384 1330163666 1995245499 2660327332 3990490998 5320654664 7980981996 15961963992 18921174253 37842348506 56763522759 75684697012 113527045518 151369394024 227054091036 245975265289 359502310807 454108182072 491950530578 719004621614 737925795867 983901061156 1078506932421 1438009243228 1475851591734 1967802122312 2157013864842 2876018486456 2951703183468 4314027729684 4673530040491 5903406366936 8628055459368 9347060080982 14020590121473 18694120161964 28041180242946 37388240323928 56082360485892 112164720971784