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12641324630 = 25112361101811
BaseRepresentation
bin10111100010111101…
…10100111001010110
31012121222212211100112
423301132310321112
5201342134342010
65450215243022
7625156325564
oct136136647126
935558784315
1012641324630
1153a7775330
122549679472
131265c9bb5c
1487cc80a34
154dec02a05
hex2f17b4e56

12641324630 has 128 divisors (see below), whose sum is σ = 26620296192. Its totient is φ = 4276800000.

The previous prime is 12641324609. The next prime is 12641324681. The reversal of 12641324630 is 3642314621.

12641324630 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15586925 + ... + 15587735.

It is an arithmetic number, because the mean of its divisors is an integer number (207971064).

Almost surely, 212641324630 is an apocalyptic number.

12641324630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12641324630 is an abundant number, since it is smaller than the sum of its proper divisors (13978971562).

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

12641324630 is a wasteful number, since it uses less digits than its factorization.

12641324630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 12641324630 in words is "twelve billion, six hundred forty-one million, three hundred twenty-four thousand, six hundred thirty".

Divisors: 1 2 5 10 11 22 23 46 55 61 101 110 115 122 202 230 253 305 505 506 610 671 811 1010 1111 1265 1342 1403 1622 2222 2323 2530 2806 3355 4055 4646 5555 6161 6710 7015 8110 8921 11110 11615 12322 14030 15433 17842 18653 23230 25553 30805 30866 37306 44605 49471 51106 61610 67771 77165 81911 89210 93265 98942 127765 135542 141703 154330 163822 186530 205183 247355 255530 283406 338855 409555 410366 494710 544181 677710 708515 819110 901021 1025915 1088362 1137833 1417030 1558733 1802042 1883953 2051830 2275666 2720905 3117466 3767906 4505105 4996571 5441810 5689165 7793665 9010210 9419765 9993142 11378330 12516163 15587330 18839530 20723483 24982855 25032326 41446966 49965710 54962281 62580815 103617415 109924562 114921133 125161630 207234830 229842266 274811405 549622810 574605665 1149211330 1264132463 2528264926 6320662315 12641324630