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107081140374 = 23313155997843
BaseRepresentation
bin110001110111010001…
…0001000100010010110
3101020101200001112201000
41203232202020202112
53223300232442444
6121105320244130
710510366450425
oct1435642104226
9336350045630
10107081140374
114145a56a72a
1218905310646
13a136884b30
14527b69d2bc
152bbac30469
hex18ee888896

107081140374 has 64 divisors (see below), whose sum is σ = 256429555200. Its totient is φ = 32926572576.

The previous prime is 107081140373. The next prime is 107081140381. The reversal of 107081140374 is 473041180701.

107081140374 is a `hidden beast` number, since 1 + 0 + 70 + 81 + 140 + 374 = 666.

It is a super-2 number, since 2×1070811403742 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107081140373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045497 + ... + 1143339.

It is an arithmetic number, because the mean of its divisors is an integer number (4006711800).

Almost surely, 2107081140374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107081140374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128214777600).

107081140374 is an abundant number, since it is smaller than the sum of its proper divisors (149348414826).

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

107081140374 is a wasteful number, since it uses less digits than its factorization.

107081140374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99426 (or 99420 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 107081140374 in words is "one hundred seven billion, eighty-one million, one hundred forty thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1559 3118 4677 9354 14031 20267 28062 40534 42093 60801 84186 97843 121602 182403 195686 293529 364806 547209 587058 880587 1094418 1271959 1761174 2543918 2641761 3815877 5283522 7631754 11447631 22895262 34342893 68685786 152537237 305074474 457611711 915223422 1372835133 1982984081 2745670266 3965968162 4118505399 5948952243 8237010798 11897904486 17846856729 35693713458 53540570187 107081140374