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13253873568 = 2531320115281
BaseRepresentation
bin11000101011111111…
…00000111110100000
31021012200111112112020
430111333200332200
5204120442423233
610031100301440
7646305031545
oct142577407640
937180445466
1013253873568
115691514421
12269a841880
131332b6c550
148da372bcc
1552889d9b3
hex315fe0fa0

13253873568 has 96 divisors (see below), whose sum is σ = 37493410752. Its totient is φ = 4075315200.

The previous prime is 13253873537. The next prime is 13253873573. The reversal of 13253873568 is 86537835231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 13253873568.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2507088 + ... + 2512368.

It is an arithmetic number, because the mean of its divisors is an integer number (390556362).

Almost surely, 213253873568 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 13253873568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18746705376).

13253873568 is an abundant number, since it is smaller than the sum of its proper divisors (24239537184).

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

13253873568 is a wasteful number, since it uses less digits than its factorization.

13253873568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7318 (or 7310 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The spelling of 13253873568 in words is "thirteen billion, two hundred fifty-three million, eight hundred seventy-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2011 4022 5281 6033 8044 10562 12066 15843 16088 21124 24132 26143 31686 32176 42248 48264 52286 63372 64352 68653 78429 84496 96528 104572 126744 137306 156858 168992 193056 205959 209144 253488 274612 313716 411918 418288 506976 549224 627432 823836 836576 1098448 1254864 1647672 2196896 2509728 3295344 6590688 10620091 21240182 31860273 42480364 63720546 84960728 127441092 138061183 169921456 254882184 276122366 339842912 414183549 509764368 552244732 828367098 1019528736 1104489464 1656734196 2208978928 3313468392 4417957856 6626936784 13253873568