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13017600057 = 3711211409653
BaseRepresentation
bin11000001111110100…
…01101000000111001
31020121012220121012110
430013322031000321
5203130001200212
65551420202533
7640405526520
oct140772150071
936535817173
1013017600057
115580106660
122633699449
1312c5c24937
148b6c2b4b7
15512c7ba3c
hex307e8d039

13017600057 has 64 divisors (see below), whose sum is σ = 21828741120. Its totient is φ = 6703603200.

The previous prime is 13017600049. The next prime is 13017600133. The reversal of 13017600057 is 75000671031.

It is not a de Polignac number, because 13017600057 - 23 = 13017600049 is a prime.

It is a super-2 number, since 2×130176000572 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13017599997 and 13017600033.

It is not an unprimeable number, because it can be changed into a prime (13017600047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19934743 + ... + 19935395.

It is an arithmetic number, because the mean of its divisors is an integer number (341074080).

Almost surely, 213017600057 is an apocalyptic number.

It is an amenable number.

13017600057 is a deficient number, since it is larger than the sum of its proper divisors (8811141063).

13017600057 is a wasteful number, since it uses less digits than its factorization.

13017600057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294.

The product of its (nonzero) digits is 4410, while the sum is 30.

The spelling of 13017600057 in words is "thirteen billion, seventeen million, six hundred thousand, fifty-seven".

Divisors: 1 3 7 11 21 33 77 211 231 409 633 653 1227 1477 1959 2321 2863 4431 4499 4571 6963 7183 8589 13497 13713 16247 21549 31493 48741 50281 86299 94479 137783 150843 258897 267077 413349 604093 801231 949289 964481 1515613 1812279 1869539 2847867 2893443 2937847 4546839 5608617 6645023 8813541 10609291 19935069 20564929 31827873 56353247 61694787 169059741 394472729 619885717 1183418187 1859657151 4339200019 13017600057