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12695655264 = 253292672347
BaseRepresentation
bin10111101001011100…
…00101001101100000
31012202210010002222020
423310232011031200
5202000041432024
65455435541440
7626416201125
oct136456051540
935683102866
1012695655264
115425403786
1225638ba880
131274312466
1488618474c
154e4885979
hex2f4b85360

12695655264 has 144 divisors (see below), whose sum is σ = 35044970688. Its totient is φ = 4023258624.

The previous prime is 12695655191. The next prime is 12695655281. The reversal of 12695655264 is 46255659621.

It is a super-2 number, since 2×126956552642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5408139 + ... + 5410485.

It is an arithmetic number, because the mean of its divisors is an integer number (243367852).

Almost surely, 212695655264 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 12695655264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17522485344).

12695655264 is an abundant number, since it is smaller than the sum of its proper divisors (22349315424).

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

12695655264 is a wasteful number, since it uses less digits than its factorization.

12695655264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2448 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 51.

The spelling of 12695655264 in words is "twelve billion, six hundred ninety-five million, six hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 67 87 96 116 134 174 201 232 268 348 402 464 536 696 804 841 928 1072 1392 1608 1682 1943 2144 2347 2523 2784 3216 3364 3886 4694 5046 5829 6432 6728 7041 7772 9388 10092 11658 13456 14082 15544 18776 20184 23316 26912 28164 31088 37552 40368 46632 56328 56347 62176 68063 75104 80736 93264 112656 112694 136126 157249 169041 186528 204189 225312 225388 272252 314498 338082 408378 450776 471747 544504 628996 676164 816756 901552 943494 1089008 1257992 1352328 1633512 1803104 1886988 1973827 2178016 2515984 2704656 3267024 3773976 3947654 4560221 5031968 5409312 5921481 6534048 7547952 7895308 9120442 11842962 13680663 15095904 15790616 18240884 23685924 27361326 31581232 36481768 47371848 54722652 63162464 72963536 94743696 109445304 132246409 145927072 189487392 218890608 264492818 396739227 437781216 528985636 793478454 1057971272 1586956908 2115942544 3173913816 4231885088 6347827632 12695655264