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12593964320 = 255721679619
BaseRepresentation
bin10111011101010100…
…01010010100100000
31012111200202200012222
423232222022110200
5201243023324240
65441404210212
7624042634100
oct135652122440
935450680188
1012593964320
115382a67883
122535839968
1312592290c2
14876873200
154da999eb5
hex2eea8a520

12593964320 has 144 divisors (see below), whose sum is σ = 34821783360. Its totient is φ = 4291628544.

The previous prime is 12593964311. The next prime is 12593964323. The reversal of 12593964320 is 2346939521.

It is not an unprimeable number, because it can be changed into a prime (12593964323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1304471 + ... + 1314089.

It is an arithmetic number, because the mean of its divisors is an integer number (241817940).

Almost surely, 212593964320 is an apocalyptic number.

12593964320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12593964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410891680).

12593964320 is an abundant number, since it is smaller than the sum of its proper divisors (22227819040).

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

12593964320 is a wasteful number, since it uses less digits than its factorization.

12593964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 12593964320 in words is "twelve billion, five hundred ninety-three million, nine hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 167 196 224 245 280 334 392 490 560 668 784 835 980 1120 1169 1336 1568 1670 1960 2338 2672 3340 3920 4676 5344 5845 6680 7840 8183 9352 9619 11690 13360 16366 18704 19238 23380 26720 32732 37408 38476 40915 46760 48095 65464 67333 76952 81830 93520 96190 130928 134666 153904 163660 187040 192380 261856 269332 307808 327320 336665 384760 471331 538664 654640 673330 769520 942662 1077328 1309280 1346660 1539040 1606373 1885324 2154656 2356655 2693320 3212746 3770648 4713310 5386640 6425492 7541296 8031865 9426620 10773280 11244611 12850984 15082592 16063730 18853240 22489222 25701968 32127460 37706480 44978444 51403936 56223055 64254920 75412960 78712277 89956888 112446110 128509840 157424554 179913776 224892220 257019680 314849108 359827552 393561385 449784440 629698216 787122770 899568880 1259396432 1574245540 1799137760 2518792864 3148491080 6296982160 12593964320