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232628004377145 = 325137931121161743
BaseRepresentation
bin110100111001001011101101…
…100100001101001000111001
31010111200000112121012110222100
4310321023231210031020321
5220442334123110032040
62142431455131014013
766666550544444406
oct6471135544151071
91114600477173870
10232628004377145
1168138a89964823
1222110a47b9a309
139ca595a6b0b50
1441633810b32ad
151bd62c54e1b30
hexd392ed90d239

232628004377145 has 96 divisors (see below), whose sum is σ = 439752485652480. Its totient is φ = 113070545602560.

The previous prime is 232628004377129. The next prime is 232628004377221. The reversal of 232628004377145 is 541773400826232.

232628004377145 is a `hidden beast` number, since 2 + 3 + 2 + 62 + 8 + 0 + 0 + 437 + 7 + 145 = 666.

232628004377145 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232628004377145 - 24 = 232628004377129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232628004377091 and 232628004377100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1438176144 + ... + 1438337886.

It is an arithmetic number, because the mean of its divisors is an integer number (4580755058880).

Almost surely, 2232628004377145 is an apocalyptic number.

It is an amenable number.

232628004377145 is a deficient number, since it is larger than the sum of its proper divisors (207124481275335).

232628004377145 is a wasteful number, since it uses less digits than its factorization.

232628004377145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192967 (or 192964 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 232628004377145 in words is "two hundred thirty-two trillion, six hundred twenty-eight billion, four million, three hundred seventy-seven thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 79 117 195 237 395 585 711 1027 1185 3081 3555 5135 9243 15405 31121 46215 93363 155605 161743 280089 404573 466815 485229 808715 1213719 1400445 1455687 2022865 2102659 2426145 2458559 3641157 6068595 6307977 7278435 7375677 10513295 12292795 12777697 18205785 18923931 22127031 31539885 31961267 36878385 38333091 63888485 94619655 95883801 110635155 114999273 159806335 166110061 191665455 287651403 479419005 498330183 574996365 830550305 1438257015 1494990549 2491650915 5033603903 7474952745 15100811709 25168019515 45302435127 65436850739 75504058545 196310552217 226512175635 327184253695 397654708337 588931656651 981552761085 1192964125011 1988273541685 2944658283255 3578892375033 5169511208381 5964820625055 15508533625143 17894461875165 25847556041905 46525600875429 77542668125715 232628004377145