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12852363613887 = 3472916735313259
BaseRepresentation
bin1011101100000110110010…
…0100010101011010111111
31200111200012022121001010000
42323001230210111122333
53141033120041121022
643200143324245343
72464360360126620
oct273015444253277
950450168531100
1012852363613887
114105725221756
121536a5a6a0853
13722c84cc4c75
143260b4541a47
151744bd3426ac
hexbb06c9156bf

12852363613887 has 160 divisors (see below), whose sum is σ = 22900906828800. Its totient is φ = 7028000888832.

The previous prime is 12852363613847. The next prime is 12852363613907. The reversal of 12852363613887 is 78831636325821.

12852363613887 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 2 + 3 + 6 + 3 + 613 + 8 + 8 + 7 = 666.

It is not a de Polignac number, because 12852363613887 - 231 = 12850216130239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12852363613807) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 969324664 + ... + 969337922.

It is an arithmetic number, because the mean of its divisors is an integer number (143130667680).

Almost surely, 212852363613887 is an apocalyptic number.

12852363613887 is a deficient number, since it is larger than the sum of its proper divisors (10048543214913).

12852363613887 is a wasteful number, since it uses less digits than its factorization.

12852363613887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13827 (or 13818 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 12852363613887 in words is "twelve trillion, eight hundred fifty-two billion, three hundred sixty-three million, six hundred thirteen thousand, eight hundred eighty-seven".

Divisors: 1 3 7 9 21 27 29 63 81 87 167 189 203 261 353 501 567 609 783 1059 1169 1503 1827 2349 2471 3177 3507 4509 4843 5481 7413 9531 10237 10521 13259 13527 14529 16443 22239 28593 30711 31563 33901 39777 43587 58951 66717 71659 92133 92813 94689 101703 119331 130761 176853 200151 214977 276399 278439 305109 357993 384511 392283 412657 530559 644931 829197 835317 915327 1073979 1153533 1237971 1591677 1709579 1934793 2214253 2505951 2691577 2745981 3460599 3713913 4680427 4775031 5128737 5804379 6642759 7517853 8074731 10381797 11141739 11967053 14041281 15386211 15499771 19928277 24224193 31145391 32762989 33425217 35901159 42123843 46158633 46499313 59784831 64213337 72672579 98288967 107703477 126371529 135732383 138475899 139497939 179354493 192640011 218017737 294866901 323110431 379114587 407197149 418493817 449493359 577920033 781631309 884600703 950126681 969331293 1221591447 1255481451 1348480077 1733760099 2344893927 2653802109 2850380043 3664774341 4045440231 5201280297 5471419163 7034681781 8551140129 10994323023 12136320693 16414257489 21104045343 22667307961 25653420387 36408962079 49242772467 63312136029 68001923883 76960261161 147728317401 158671155727 204005771649 443184952203 476013467181 612017314947 1428040401543 1836051944841 4284121204629 12852363613887