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12954665568 = 2531322945329
BaseRepresentation
bin11000001000010100…
…01000001001100000
31020102211111012022110
430010022020021200
5203012343244233
65541251235320
7636012561165
oct140412101140
936384435273
1012954665568
115548630a89
1226165a8b40
1312b5b8b0b0
148ac72806c
1550c499663
hex304288260

12954665568 has 96 divisors (see below), whose sum is σ = 36782575200. Its totient is φ = 3968557056.

The previous prime is 12954665561. The next prime is 12954665617. The reversal of 12954665568 is 86556645921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12954665561) 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, 263128 + ... + 308456.

It is an arithmetic number, because the mean of its divisors is an integer number (383151825).

Almost surely, 212954665568 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 12954665568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18391287600).

12954665568 is an abundant number, since it is smaller than the sum of its proper divisors (23827909632).

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

12954665568 is a wasteful number, since it uses less digits than its factorization.

12954665568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45584 (or 45576 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 57.

The spelling of 12954665568 in words is "twelve billion, nine hundred fifty-four million, six hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 229 312 416 458 624 687 916 1248 1374 1832 2748 2977 3664 5496 5954 7328 8931 10992 11908 17862 21984 23816 35724 45329 47632 71448 90658 95264 135987 142896 181316 271974 285792 362632 543948 589277 725264 1087896 1178554 1450528 1767831 2175792 2357108 3535662 4351584 4714216 7071324 9428432 10380341 14142648 18856864 20760682 28285296 31141023 41521364 56570592 62282046 83042728 124564092 134944433 166085456 249128184 269888866 332170912 404833299 498256368 539777732 809666598 996512736 1079555464 1619333196 2159110928 3238666392 4318221856 6477332784 12954665568