Search a number
-
+
13137973152 = 253232258703
BaseRepresentation
bin11000011110001010…
…11000111110100000
31020220121102012001020
430033011120332200
5203401310120102
610011400205440
7643366633503
oct141705307640
936817365036
1013137973152
115632052757
122667a69880
131314b4c615
148c8c0313a
1551d607bbc
hex30f158fa0

13137973152 has 72 divisors (see below), whose sum is σ = 36051954624. Its totient is φ = 4188902784.

The previous prime is 13137973151. The next prime is 13137973159. The reversal of 13137973152 is 25137973131.

It is not an unprimeable number, because it can be changed into a prime (13137973151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78568 + ... + 180135.

It is an arithmetic number, because the mean of its divisors is an integer number (500721592).

Almost surely, 213137973152 is an apocalyptic number.

13137973152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13137973152 is an abundant number, since it is smaller than the sum of its proper divisors (22913981472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13137973152 is a wasteful number, since it uses less digits than its factorization.

13137973152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258762 (or 258731 counting only the distinct ones).

The product of its digits is 119070, while the sum is 42.

The spelling of 13137973152 in words is "thirteen billion, one hundred thirty-seven million, nine hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 529 552 736 1058 1104 1587 2116 2208 3174 4232 6348 8464 12696 16928 25392 50784 258703 517406 776109 1034812 1552218 2069624 3104436 4139248 5950169 6208872 8278496 11900338 12417744 17850507 23800676 24835488 35701014 47601352 71402028 95202704 136853887 142804056 190405408 273707774 285608112 410561661 547415548 571216224 821123322 1094831096 1642246644 2189662192 3284493288 4379324384 6568986576 13137973152