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113805685446660 = 22325738661011069
BaseRepresentation
bin11001111000000101110011…
…011101000101100000000100
3112220221201100220010102011100
4121320011303131011200010
5104404043020433243120
61042013335442340100
732654121656212134
oct3170056335054004
9486851326112140
10113805685446660
11332977a1587909
121092037995a630
134b66aa392173c
1420163202caac4
15d2553144a490
hex678173745804

113805685446660 has 72 divisors (see below), whose sum is σ = 349939491272280. Its totient is φ = 29932454251008.

The previous prime is 113805685446643. The next prime is 113805685446703. The reversal of 113805685446660 is 66644586508311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5453074973124 + 108352610473536 = 2335182^2 + 10409256^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4330492395 + ... + 4330518674.

It is an arithmetic number, because the mean of its divisors is an integer number (4860270712115).

Almost surely, 2113805685446660 is an apocalyptic number.

113805685446660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113805685446660 is an abundant number, since it is smaller than the sum of its proper divisors (236133805825620).

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

113805685446660 is a wasteful number, since it uses less digits than its factorization.

113805685446660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661011157 (or 8661011152 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 113805685446660 in words is "one hundred thirteen trillion, eight hundred five billion, six hundred eighty-five million, four hundred forty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 8661011069 17322022138 25983033207 34644044276 43305055345 51966066414 77949099621 86610110690 103932132828 129915166035 155898199242 173220221380 259830332070 311796398484 389745498105 519660664140 632253808037 779490996210 1264507616074 1558981992420 1896761424111 2529015232148 3161269040185 3793522848222 5690284272333 6322538080370 7587045696444 9483807120555 11380568544666 12645076160740 18967614241110 22761137089332 28451421361665 37935228482220 56902842723330 113805685446660