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107234271535392 = 25331091138658167
BaseRepresentation
bin11000011000011101101100…
…101010011010000100100000
3112001200111101202111120112000
4120120131230222122010200
5103023411242003113032
61020022424432204000
731405264133456331
oct3030355452320440
9461614352446460
10107234271535392
1131193887765491
121003a878699600
1347ab1c10b9b61
141c6a2489ac288
15c5e62207be7c
hex61876ca9a120

107234271535392 has 96 divisors (see below), whose sum is σ = 315636044169600. Its totient is φ = 35416823595264.

The previous prime is 107234271535273. The next prime is 107234271535403. The reversal of 107234271535392 is 293535172432701.

107234271535392 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 3 + 4 + 2 + 71 + 535 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1072342715353922 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569234908 + ... + 569423259.

It is an arithmetic number, because the mean of its divisors is an integer number (3287875460100).

Almost surely, 2107234271535392 is an apocalyptic number.

107234271535392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107234271535392 is an abundant number, since it is smaller than the sum of its proper divisors (208401772634208).

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

107234271535392 is a wasteful number, since it uses less digits than its factorization.

107234271535392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138658295 (or 1138658281 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 107234271535392 in words is "one hundred seven trillion, two hundred thirty-four billion, two hundred seventy-one million, five hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 109 144 216 218 288 327 432 436 654 864 872 981 1308 1744 1962 2616 2943 3488 3924 5232 5886 7848 10464 11772 15696 23544 31392 47088 94176 1138658167 2277316334 3415974501 4554632668 6831949002 9109265336 10247923503 13663898004 18218530672 20495847006 27327796008 30743770509 36437061344 40991694012 54655592016 61487541018 81983388024 109311184032 122975082036 124113740203 163966776048 245950164072 248227480406 327933552096 372341220609 491900328144 496454960812 744682441218 983800656288 992909921624 1117023661827 1489364882436 1985819843248 2234047323654 2978729764872 3351070985481 3971639686496 4468094647308 5957459529744 6702141970962 8936189294616 11914919059488 13404283941924 17872378589232 26808567883848 35744757178464 53617135767696 107234271535392