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117317727005344 = 25311451363122447
BaseRepresentation
bin11010101011001100101001…
…011100011010101010100000
3120101101110120002220221222221
4122223030221130122222200
5110334113201103132334
61053303004133440424
733465632433001645
oct3253145134325240
9511343502827887
10117317727005344
1134421194478278
12111a8b654a0114
135060025225058
1420d82cb761dcc
15d86a83a018b4
hex6ab32971aaa0

117317727005344 has 96 divisors (see below), whose sum is σ = 238660550295552. Its totient is φ = 56709370080000.

The previous prime is 117317727005327. The next prime is 117317727005377. The reversal of 117317727005344 is 443500727713711.

It is a junction number, because it is equal to n+sod(n) for n = 117317727005291 and 117317727005300.

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, 5226421129 + ... + 5226443575.

It is an arithmetic number, because the mean of its divisors is an integer number (2486047398912).

Almost surely, 2117317727005344 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 117317727005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119330275147776).

117317727005344 is an abundant number, since it is smaller than the sum of its proper divisors (121342823290208).

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

117317727005344 is a wasteful number, since it uses less digits than its factorization.

117317727005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27570 (or 27562 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 52.

The spelling of 117317727005344 in words is "one hundred seventeen trillion, three hundred seventeen billion, seven hundred twenty-seven million, five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1451 2902 3631 5804 7262 11608 14524 22447 23216 29048 44894 44981 46432 58096 89788 89962 112561 116192 179576 179924 225122 359152 359848 450244 695857 718304 719696 900488 1391714 1439392 1800976 2783428 3601952 5268581 5566856 10537162 11133712 21074324 22267424 32570597 42148648 65141194 81505057 84297296 130282388 163010114 163326011 168594592 260564776 326020228 326652022 521129552 652040456 653304044 1009688507 1042259104 1304080912 1306608088 2019377014 2526656767 2608161824 2613216176 4038754028 5053313534 5226432352 8077508056 10106627068 16155016112 20213254136 32310032224 40426508272 80853016544 118263837707 236527675414 473055350828 946110701656 1892221403312 3666178968917 3784442806624 7332357937834 14664715875668 29329431751336 58658863502672 117317727005344