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12753257643 = 327372672207
BaseRepresentation
bin10111110000010011…
…10100010010101011
31012220210111121120200
423320021310102223
5202104313221033
65505254323243
7631015621110
oct137011642253
935823447520
1012753257643
115454977255
12257b059523
13128322ccc9
1488da9a907
154e9963013
hex2f82744ab

12753257643 has 72 divisors (see below), whose sum is σ = 21970271232. Its totient is φ = 6981619392.

The previous prime is 12753257609. The next prime is 12753257663. The reversal of 12753257643 is 34675235721.

12753257643 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 32 + 576 + 43 = 666.

12753257643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12753257643 - 26 = 12753257579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12753257663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5777446 + ... + 5779652.

It is an arithmetic number, because the mean of its divisors is an integer number (305142656).

Almost surely, 212753257643 is an apocalyptic number.

12753257643 is a deficient number, since it is larger than the sum of its proper divisors (9217013589).

12753257643 is a wasteful number, since it uses less digits than its factorization.

12753257643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2321 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 12753257643 in words is "twelve billion, seven hundred fifty-three million, two hundred fifty-seven thousand, six hundred forty-three".

Divisors: 1 3 7 9 21 37 63 67 111 201 259 333 469 603 777 1369 1407 2207 2331 2479 4107 4221 6621 7437 9583 12321 15449 17353 19863 22311 28749 46347 52059 81659 86247 91723 139041 147869 156177 244977 275169 443607 571613 642061 734931 825507 1035083 1330821 1714839 1926183 3021383 3105249 5144517 5471153 5778549 9064149 9315747 16413459 21149681 27192447 38298071 49240377 63449043 114894213 190347129 202432661 344682639 607297983 1417028627 1821893949 4251085881 12753257643