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117946413792 = 25331151118603
BaseRepresentation
bin110110111011000100…
…1110111001011100000
3102021102212222121211000
41231312021313023200
53413023240220132
6130103412552000
711343551655414
oct1556611671340
9367385877730
10117946413792
1146025748439
121aa38022600
13b1788ca4bc
1459cc6dcd44
153104a5a87c
hex1b762772e0

117946413792 has 96 divisors (see below), whose sum is σ = 344312156160. Its totient is φ = 39280982400.

The previous prime is 117946413769. The next prime is 117946413803. The reversal of 117946413792 is 297314649711.

117946413792 is a `hidden beast` number, since 1 + 179 + 464 + 1 + 3 + 7 + 9 + 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 2×1179464137922 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935163 + ... + 1053765.

It is an arithmetic number, because the mean of its divisors is an integer number (3586584960).

Almost surely, 2117946413792 is an apocalyptic number.

117946413792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117946413792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172156078080).

117946413792 is an abundant number, since it is smaller than the sum of its proper divisors (226365742368).

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

117946413792 is a wasteful number, since it uses less digits than its factorization.

117946413792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119773 (or 119759 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 117946413792 in words is "one hundred seventeen billion, nine hundred forty-six million, four hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1151 2302 3453 4604 6906 9208 10359 13812 18416 20718 27624 31077 36832 41436 55248 62154 82872 110496 118603 124308 165744 237206 248616 331488 355809 474412 497232 711618 948824 994464 1067427 1423236 1897648 2134854 2846472 3202281 3795296 4269708 5692944 6404562 8539416 11385888 12809124 17078832 25618248 34157664 51236496 102472992 136512053 273024106 409536159 546048212 819072318 1092096424 1228608477 1638144636 2184192848 2457216954 3276289272 3685825431 4368385696 4914433908 6552578544 7371650862 9828867816 13105157088 14743301724 19657735632 29486603448 39315471264 58973206896 117946413792