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12995707656 = 23331711571567
BaseRepresentation
bin11000001101001101…
…01100001100001000
31020112200201100110210
430012212230030020
5203103400121111
65545315041120
7640021456341
oct140646541410
936480640423
1012995707656
115569813568
1226282a01a0
1312c152b059
148b3d6d0c8
15510da50a6
hex3069ac308

12995707656 has 128 divisors (see below), whose sum is σ = 34248130560. Its totient is φ = 4104172800.

The previous prime is 12995707651. The next prime is 12995707661. The reversal of 12995707656 is 65670759921.

It is an interprime number because it is at equal distance from previous prime (12995707651) and next prime (12995707661).

It is a junction number, because it is equal to n+sod(n) for n = 12995707596 and 12995707605.

It is not an unprimeable number, because it can be changed into a prime (12995707651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8292585 + ... + 8294151.

It is an arithmetic number, because the mean of its divisors is an integer number (267563520).

Almost surely, 212995707656 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 12995707656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124065280).

12995707656 is an abundant number, since it is smaller than the sum of its proper divisors (21252422904).

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

12995707656 is a wasteful number, since it uses less digits than its factorization.

12995707656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 57.

The spelling of 12995707656 in words is "twelve billion, nine hundred ninety-five million, seven hundred seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 93 124 142 157 186 213 248 284 314 372 426 471 568 628 744 852 942 1256 1567 1704 1884 2201 3134 3768 4402 4701 4867 6268 6603 8804 9402 9734 11147 12536 13206 14601 17608 18804 19468 22294 26412 29202 33441 37608 38936 44588 48577 52824 58404 66882 89176 97154 111257 116808 133764 145731 194308 222514 246019 267528 291462 333771 345557 388616 445028 492038 582924 667542 691114 738057 890056 984076 1036671 1165848 1335084 1382228 1476114 1968152 2073342 2670168 2764456 2952228 3448967 4146684 5904456 6897934 7626589 8293368 10346901 13795868 15253178 17467349 20693802 22879767 27591736 30506356 34934698 41387604 45759534 52402047 61012712 69869396 82775208 91519068 104804094 139738792 183038136 209608188 419216376 541487819 1082975638 1624463457 2165951276 3248926914 4331902552 6497853828 12995707656