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132968157891453 = 32611994097573931
BaseRepresentation
bin11110001110111100001111…
…110100010100101101111101
3122102210122001112201211222100
4132032330033310110231331
5114412022241410011303
61150444421202335313
740002426623413053
oct3616741764245575
9572718045654870
10132968157891453
113940552a725515
1212ab615305a539
135926ac71a8731
1424b999c1321d3
151058c185dd8a3
hex78ef0fd14b7d

132968157891453 has 96 divisors (see below), whose sum is σ = 196984297952000. Its totient is φ = 86405661619200.

The previous prime is 132968157891451. The next prime is 132968157891463. The reversal of 132968157891453 is 354198751869231.

132968157891453 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 6 + 8 + 1 + 578 + 9 + 1 + 45 + 3 = 666.

It is not a de Polignac number, because 132968157891453 - 21 = 132968157891451 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132968157891451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33825527898 + ... + 33825531828.

Almost surely, 2132968157891453 is an apocalyptic number.

It is an amenable number.

132968157891453 is a deficient number, since it is larger than the sum of its proper divisors (64016140060547).

132968157891453 is a wasteful number, since it uses less digits than its factorization.

132968157891453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5360 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 132968157891453 in words is "one hundred thirty-two trillion, nine hundred sixty-eight billion, one hundred fifty-seven million, eight hundred ninety-one thousand, four hundred fifty-three".

Divisors: 1 3 9 61 183 199 409 549 597 757 1227 1791 2271 3681 3931 6813 11793 12139 24949 35379 36417 46177 74847 81391 109251 138531 150643 224541 239791 244173 309613 415593 451929 719373 732519 782269 928839 1355787 1607779 2158119 2346807 2786517 2975767 4823337 4964851 7040421 8927301 9189223 14470011 14894553 18886393 26781903 27567669 44683659 47718409 56659179 61612987 82703007 98074519 143155227 169977537 181521787 184838961 294223557 319948021 429465681 544565361 554516883 592177633 882670671 959844063 1217088703 1633696083 1776532899 2879532189 3651266109 3758392207 5329598697 10953798327 11275176621 19516829281 33825529863 36122835613 58550487843 74242410883 108368506839 175651463529 222727232649 242200651897 325105520517 668181697947 726601955691 2179805867073 14774239765717 44322719297151 132968157891453