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165055516610120 = 235291181120481997
BaseRepresentation
bin100101100001110111111011…
…011011111000111001001000
3210122102011010202010011201022
4211201313323123320321020
5133113232144223010440
61343013242455212012
746523603366350253
oct4541677333707110
9718364122104638
10165055516610120
1148656719157704
1216618a46677008
13711388c706546
142ca8a3016009a
1514137158d9cb5
hex961dfb6f8e48

165055516610120 has 64 divisors (see below), whose sum is σ = 384506248417200. Its totient is φ = 63691602365440.

The previous prime is 165055516610119. The next prime is 165055516610177. The reversal of 165055516610120 is 21016615550561.

It can be written as a sum of positive squares in 8 ways, for example, as 143414468434084 + 21641048176036 = 11975578^2 + 4651994^2 .

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, 58871039 + ... + 61610958.

Almost surely, 2165055516610120 is an apocalyptic number.

165055516610120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165055516610120 is an abundant number, since it is smaller than the sum of its proper divisors (219450731807080).

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

165055516610120 is a wasteful number, since it uses less digits than its factorization.

165055516610120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120483218 (or 120483214 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 44.

The spelling of 165055516610120 in words is "one hundred sixty-five trillion, fifty-five billion, five hundred sixteen million, six hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1181 2362 4724 5905 9448 11810 23620 34249 47240 68498 136996 171245 273992 342490 684980 1369960 120481997 240963994 481927988 602409985 963855976 1204819970 2409639940 3493977913 4819279880 6987955826 13975911652 17469889565 27951823304 34939779130 69879558260 139759116520 142289238457 284578476914 569156953828 711446192285 1138313907656 1422892384570 2845784769140 4126387915253 5691569538280 8252775830506 16505551661012 20631939576265 33011103322024 41263879152530 82527758305060 165055516610120