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12251563056 = 24326111312343
BaseRepresentation
bin10110110100100000…
…00000010000110000
31011121211110212222200
423122100000100300
5200042400004211
65343413303200
7612414365505
oct133220002060
934554425880
1012251563056
115217762727
12245b034b00
1312033037c5
148431c34ac
154ba8b2b56
hex2da400430

12251563056 has 120 divisors (see below), whose sum is σ = 35160698976. Its totient is φ = 3981035520.

The previous prime is 12251563007. The next prime is 12251563057. The reversal of 12251563056 is 65036515221.

12251563056 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 15 + 630 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12251563056.

It is not an unprimeable number, because it can be changed into a prime (12251563057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986421 + ... + 998763.

Almost surely, 212251563056 is an apocalyptic number.

12251563056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12251563056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580349488).

12251563056 is an abundant number, since it is smaller than the sum of its proper divisors (22909135920).

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

12251563056 is a wasteful number, since it uses less digits than its factorization.

12251563056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12531 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 12251563056 in words is "twelve billion, two hundred fifty-one million, five hundred sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 113 122 144 183 226 244 339 366 452 488 549 678 732 904 976 1017 1098 1356 1464 1808 2034 2196 2712 2928 4068 4392 5424 6893 8136 8784 12343 13786 16272 20679 24686 27572 37029 41358 49372 55144 62037 74058 82716 98744 110288 111087 124074 148116 165432 197488 222174 248148 296232 330864 444348 496296 592464 752923 888696 992592 1394759 1505846 1777392 2258769 2789518 3011692 4184277 4517538 5579036 6023384 6776307 8368554 9035076 11158072 12046768 12552831 13552614 16737108 18070152 22316144 25105662 27105228 33474216 36140304 50211324 54210456 66948432 85080299 100422648 108420912 170160598 200845296 255240897 340321196 510481794 680642392 765722691 1020963588 1361284784 1531445382 2041927176 3062890764 4083854352 6125781528 12251563056