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12957786408 = 2337536123857
BaseRepresentation
bin11000001000101100…
…00010000100101000
31020110001100202022010
430010112002010220
5203014143131113
65541442155520
7636051236640
oct140426020450
936401322263
1012957786408
11554a372796
122617652ba0
1312b6711748
148accdb520
1550c8b41c3
hex304582128

12957786408 has 128 divisors (see below), whose sum is σ = 38340760320. Its totient is φ = 3572674560.

The previous prime is 12957786403. The next prime is 12957786431. The reversal of 12957786408 is 80468775921.

It is not an unprimeable number, because it can be changed into a prime (12957786403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531216 + ... + 555072.

It is an arithmetic number, because the mean of its divisors is an integer number (299537190).

Almost surely, 212957786408 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 12957786408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19170380160).

12957786408 is an abundant number, since it is smaller than the sum of its proper divisors (25382973912).

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

12957786408 is a wasteful number, since it uses less digits than its factorization.

12957786408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23987 (or 23983 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 12957786408 in words is "twelve billion, nine hundred fifty-seven million, seven hundred eighty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 61 84 106 122 159 168 183 212 244 318 366 371 424 427 488 636 732 742 854 1113 1272 1281 1464 1484 1708 2226 2562 2968 3233 3416 4452 5124 6466 8904 9699 10248 12932 19398 22631 23857 25864 38796 45262 47714 67893 71571 77592 90524 95428 135786 143142 166999 181048 190856 271572 286284 333998 500997 543144 572568 667996 1001994 1264421 1335992 1455277 2003988 2528842 2910554 3793263 4007976 4365831 5057684 5821108 7586526 8731662 8850947 10115368 10186939 11642216 15173052 17463324 17701894 20373878 26552841 30346104 30560817 34926648 35403788 40747756 53105682 61121634 70807576 77129681 81495512 106211364 122243268 154259362 212422728 231389043 244486536 308518724 462778086 539907767 617037448 925556172 1079815534 1619723301 1851112344 2159631068 3239446602 4319262136 6478893204 12957786408