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112795011684 = 223231978591213
BaseRepresentation
bin110100100001100011…
…0110100101001100100
3101210010212201021121100
41221003012310221210
53322001010333214
6123452312320100
711102110531365
oct1510306645144
9353125637540
10112795011684
1143921930823
1219a3a9a3030
13a83759b784
1456604a9b6c
152e02699309
hex1a431b4a64

112795011684 has 144 divisors (see below), whose sum is σ = 297943959040. Its totient is φ = 35938805760.

The previous prime is 112795011619. The next prime is 112795011691. The reversal of 112795011684 is 486110597211.

112795011684 is a `hidden beast` number, since 1 + 12 + 79 + 501 + 1 + 68 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92987862 + ... + 92989074.

Almost surely, 2112795011684 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 112795011684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148971979520).

112795011684 is an abundant number, since it is smaller than the sum of its proper divisors (185148947356).

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

112795011684 is a wasteful number, since it uses less digits than its factorization.

112795011684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 112795011684 in words is "one hundred twelve billion, seven hundred ninety-five million, eleven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 97 124 186 194 279 291 372 388 558 582 859 873 1116 1164 1213 1718 1746 2426 2577 3007 3436 3492 3639 4852 5154 6014 7278 7731 9021 10308 10917 12028 14556 15462 18042 21834 26629 27063 30924 36084 37603 43668 53258 54126 75206 79887 83323 106516 108252 112809 117661 150412 159774 166646 225618 235322 239661 249969 319548 333292 338427 352983 451236 470644 479322 499938 676854 705966 749907 958644 999876 1041967 1058949 1353708 1411932 1499814 2083934 2117898 2583013 2999628 3125901 3647491 4167868 4235796 5166026 6251802 7294982 7749039 9377703 10332052 10942473 12503604 14589964 15498078 18755406 21884946 23247117 30996156 32300977 32827419 37510812 43769892 46494234 64601954 65654838 92988468 96902931 101070799 129203908 131309676 193805862 202141598 290708793 303212397 387611724 404283196 581417586 606424794 909637191 1162835172 1212849588 1819274382 3133194769 3638548764 6266389538 9399584307 12532779076 18799168614 28198752921 37598337228 56397505842 112795011684