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13375154952 = 2332581331957
BaseRepresentation
bin11000111010011100…
…01010101100001000
31021112010201021022100
430131032022230020
5204343014424302
610051111553400
7652306640565
oct143516125410
937463637270
1013375154952
115743a20975
12271338b860
131352024793
1490c50386c
15534358d1c
hex31d38ab08

13375154952 has 48 divisors (see below), whose sum is σ = 36231743340. Its totient is φ = 4457478528.

The previous prime is 13375154927. The next prime is 13375155011. The reversal of 13375154952 is 25945157331.

13375154952 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 51 + 549 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12482699076 + 892455876 = 111726^2 + 29874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13375154898 and 13375154907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402558 + ... + 434514.

Almost surely, 213375154952 is an apocalyptic number.

13375154952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13375154952 is an abundant number, since it is smaller than the sum of its proper divisors (22856588388).

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

13375154952 is a wasteful number, since it uses less digits than its factorization.

13375154952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37782 (or 37775 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The spelling of 13375154952 in words is "thirteen billion, three hundred seventy-five million, one hundred fifty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5813 11626 17439 23252 31957 34878 46504 52317 63914 69756 95871 104634 127828 139512 191742 209268 255656 287613 383484 418536 575226 766968 1150452 2300904 185766041 371532082 557298123 743064164 1114596246 1486128328 1671894369 2229192492 3343788738 4458384984 6687577476 13375154952