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117581607027 = 32193721014973
BaseRepresentation
bin110110110000001101…
…0001111000001110011
3102020111110112112000100
41231200122033001303
53411301342411102
6130003301523443
711331532112013
oct1554032170163
9366443475010
10117581607027
114595882a745
121a955a13583
13b11b15b901
145996099c43
1530d29e9a1c
hex1b6068f073

117581607027 has 72 divisors (see below), whose sum is σ = 185598045360. Its totient is φ = 71525203200.

The previous prime is 117581607019. The next prime is 117581607041. The reversal of 117581607027 is 720706185711.

117581607027 is a `hidden beast` number, since 1 + 1 + 7 + 581 + 60 + 7 + 0 + 2 + 7 = 666.

It is not a de Polignac number, because 117581607027 - 23 = 117581607019 is a prime.

It is a super-2 number, since 2×1175816070272 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117581607047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23641513 + ... + 23646485.

It is an arithmetic number, because the mean of its divisors is an integer number (2577750630).

Almost surely, 2117581607027 is an apocalyptic number.

117581607027 is a deficient number, since it is larger than the sum of its proper divisors (68016438333).

117581607027 is a wasteful number, since it uses less digits than its factorization.

117581607027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5173 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 117581607027 in words is "one hundred seventeen billion, five hundred eighty-one million, six hundred seven thousand, twenty-seven".

Divisors: 1 3 9 19 37 57 101 111 171 303 333 703 909 1369 1919 2109 3737 4107 4973 5757 6327 11211 12321 14919 17271 26011 33633 44757 71003 78033 94487 138269 184001 213009 234099 283461 414807 502273 552003 639027 850383 1244421 1506819 1656009 2627111 3496019 4520457 6808037 7881333 9543187 10488057 18584101 20424111 23643999 28629561 31464171 55752303 61272333 85888683 129352703 167256909 353097919 388058109 687611737 1059293757 1164174327 2062835211 3177881271 6188505633 13064623003 39193869009 117581607027