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13231449152 = 264153891069
BaseRepresentation
bin11000101001010011…
…11110010001000000
31021011010022021000022
430110221332101000
5204044222333102
610024535513012
7645613314335
oct142451762100
937133267008
1013231449152
11567a898649
122693228768
13132b31a76c
148d73b698c
1552691e5a2
hex314a7e440

13231449152 has 112 divisors (see below), whose sum is σ = 27737866800. Its totient is φ = 6255575040.

The previous prime is 13231449139. The next prime is 13231449157. The reversal of 13231449152 is 25194413231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1553621056 + 11677828096 = 39416^2 + 108064^2 .

It is not an unprimeable number, because it can be changed into a prime (13231449157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12376874 + ... + 12377942.

It is an arithmetic number, because the mean of its divisors is an integer number (247659525).

Almost surely, 213231449152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13231449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868933400).

13231449152 is an abundant number, since it is smaller than the sum of its proper divisors (14506417648).

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

13231449152 is a wasteful number, since it uses less digits than its factorization.

13231449152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1254 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The spelling of 13231449152 in words is "thirteen billion, two hundred thirty-one million, four hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 53 64 82 89 106 164 178 212 328 356 424 656 712 848 1069 1312 1424 1696 2138 2173 2624 2848 3392 3649 4276 4346 4717 5696 7298 8552 8692 9434 14596 17104 17384 18868 29192 34208 34768 37736 43829 56657 58384 68416 69536 75472 87658 95141 113314 116768 139072 150944 175316 190282 193397 226628 233536 301888 350632 380564 386794 453256 701264 761128 773588 906512 1402528 1522256 1547176 1813024 2322937 2805056 3044512 3094352 3626048 3900781 4645874 5042473 6089024 6188704 7801562 9291748 10084946 12377408 15603124 18583496 20169892 31206248 37166992 40339784 62412496 74333984 80679568 124824992 148667968 161359136 206741393 249649984 322718272 413482786 826965572 1653931144 3307862288 6615724576 13231449152