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12563271396 = 22341324792
BaseRepresentation
bin10111011001101010…
…00100111011100100
31012102120000022110000
423230311010323210
5201212144141041
65434350301300
7623221021254
oct135465047344
935376008400
1012563271396
115367703825
1225274b7830
131252a70900
14872763964
154d7e35bb6
hex2ecd44ee4

12563271396 has 135 divisors (see below), whose sum is σ = 35637984921. Its totient is φ = 3857551776.

The previous prime is 12563271353. The next prime is 12563271397. The reversal of 12563271396 is 69317236521.

The square root of 12563271396 is 112086.

It is a perfect power (a square), and thus also a powerful number.

12563271396 is a `hidden beast` number, since 1 + 2 + 5 + 632 + 7 + 1 + 3 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1858472100 + 10704799296 = 43110^2 + 103464^2 .

It is not an unprimeable number, because it can be changed into a prime (12563271397) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26227885 + ... + 26228363.

Almost surely, 212563271396 is an apocalyptic number.

12563271396 is the 112086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12563271396

12563271396 is an abundant number, since it is smaller than the sum of its proper divisors (23074713525).

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

12563271396 is an equidigital number, since it uses as much as digits as its factorization.

12563271396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 497 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 12563271396 in words is "twelve billion, five hundred sixty-three million, two hundred seventy-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 479 507 676 702 958 1014 1053 1404 1437 1521 1916 2028 2106 2874 3042 4212 4311 4563 5748 6084 6227 8622 9126 12454 12933 13689 17244 18252 18681 24908 25866 27378 37362 38799 51732 54756 56043 74724 77598 80951 112086 155196 161902 168129 224172 229441 242853 323804 336258 458882 485706 504387 672516 688323 728559 917764 971412 1008774 1376646 1457118 2017548 2064969 2185677 2753292 2914236 2982733 4129938 4371354 5965466 6194907 6557031 8259876 8742708 8948199 11930932 12389814 13114062 17896398 18584721 24779628 26228124 26844597 35792796 37169442 38775529 53689194 74338884 77551058 80533791 107378388 116326587 155102116 161067582 232653174 241601373 322135164 348979761 465306348 483202746 697959522 966405492 1046939283 1395919044 2093878566 3140817849 4187757132 6281635698 12563271396