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71165056104 = 23326116203337
BaseRepresentation
bin100001001000111000…
…1001001010001101000
320210200121121102101200
41002101301021101220
52131221223243404
652405350044200
75066351665452
oct1022161112150
9223617542350
1071165056104
11281a9900a5a
1211961049660
13693192576c
14363164b2d2
151cb7a47839
hex1091c49468

71165056104 has 48 divisors (see below), whose sum is σ = 195898356420. Its totient is φ = 23332803840.

The previous prime is 71165056103. The next prime is 71165056129. The reversal of 71165056104 is 40165056117.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67237527204 + 3927528900 = 259302^2 + 62670^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71165056103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8097277 + ... + 8106060.

Almost surely, 271165056104 is an apocalyptic number.

It is an amenable number.

71165056104 is an abundant number, since it is smaller than the sum of its proper divisors (124733300316).

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

71165056104 is a wasteful number, since it uses less digits than its factorization.

71165056104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16203410 (or 16203403 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 71165056104 in words is "seventy-one billion, one hundred sixty-five million, fifty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 16203337 32406674 48610011 64813348 97220022 129626696 145830033 194440044 291660066 388880088 583320132 988403557 1166640264 1976807114 2965210671 3953614228 5930421342 7907228456 8895632013 11860842684 17791264026 23721685368 35582528052 71165056104