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132214663024563 = 37192233974198933
BaseRepresentation
bin11110000011111110100000…
…000001100000111110110011
3122100010121011012012122112010
4132003332200001200332303
5114312201112213241223
61145110324440334003
736564123413623350
oct3603764001407663
9570117135178463
10132214663024563
1139144a184a2629
12129b4107174303
1358a0a34c0ba02
14249131c2b7627
151044317e4a393
hex783fa0060fb3

132214663024563 has 128 divisors (see below), whose sum is σ = 214094890598400. Its totient is φ = 70896844795392.

The previous prime is 132214663024541. The next prime is 132214663024567. The reversal of 132214663024563 is 365420366412231.

It is not a de Polignac number, because 132214663024563 - 25 = 132214663024531 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132214663024567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14800696645 + ... + 14800705577.

It is an arithmetic number, because the mean of its divisors is an integer number (1672616332800).

Almost surely, 2132214663024563 is an apocalyptic number.

132214663024563 is a deficient number, since it is larger than the sum of its proper divisors (81880227573837).

132214663024563 is a wasteful number, since it uses less digits than its factorization.

132214663024563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001.

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 132214663024563 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred sixty-three million, twenty-four thousand, five hundred sixty-three".

Divisors: 1 3 7 19 21 57 133 223 397 399 419 669 1191 1257 1561 2779 2933 4237 4683 7543 7961 8337 8799 8933 12711 22629 23883 26799 29659 52801 55727 62531 88531 88977 93437 158403 166343 167181 169727 187593 265593 280311 499029 509181 619717 654059 1164401 1188089 1682089 1775303 1859151 1962177 1992059 3160517 3493203 3546401 3564267 3742927 5046267 5325909 5976177 9481551 10639203 11228781 11774623 12427121 13944413 22123619 24824807 26200489 35323869 37094489 37281363 37849121 41833239 66370857 67381619 71115613 74474421 78601467 111283467 113547363 202144857 213346839 259661423 264943847 471671333 497809291 704795291 778984269 790847423 794831541 834672721 1415013999 1485942019 1493427873 2114385873 2372542269 2504018163 4457826057 4933567037 5535931961 5842709047 10401594133 14800701111 15026101037 15858781699 16607795883 17528127141 28232898361 31204782399 45078303111 47576345097 84698695083 105182707259 111011471893 197630288527 315548121777 331365070237 333034415679 592890865581 994095210711 2319555491659 6295936334503 6958666474977 18887809003509 44071554341521 132214663024563