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13568522256 = 24321725712
BaseRepresentation
bin11001010001011111…
…10011100000010000
31022000121120100101100
430220233303200100
5210242020203011
610122220304400
7660145351632
oct145057634020
938017510340
1013568522256
115833093663
1227680a2100
1313830c8ac3
1492a07aa52
15546302d56
hex328bf3810

13568522256 has 135 divisors (see below), whose sum is σ = 40408886973. Its totient is φ = 4249336320.

The previous prime is 13568522221. The next prime is 13568522267. The reversal of 13568522256 is 65222586531.

The square root of 13568522256 is 116484.

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

13568522256 is a `hidden beast` number, since 13 + 5 + 68 + 522 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10563728400 + 3004793856 = 102780^2 + 54816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23762451 + ... + 23763021.

Almost surely, 213568522256 is an apocalyptic number.

13568522256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13568522256 is the 116484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13568522256

13568522256 is an abundant number, since it is smaller than the sum of its proper divisors (26840364717).

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

13568522256 is an equidigital number, since it uses as much as digits as its factorization.

13568522256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 593 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

It can be divided in two parts, 13568 and 522256, that added together give a square (535824 = 7322).

The spelling of 13568522256 in words is "thirteen billion, five hundred sixty-eight million, five hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 571 578 612 816 867 1142 1156 1224 1713 1734 2284 2312 2448 2601 3426 3468 4568 4624 5139 5202 6852 6936 9136 9707 10278 10404 13704 13872 19414 20556 20808 27408 29121 38828 41112 41616 58242 77656 82224 87363 116484 155312 165019 174726 232968 326041 330038 349452 465936 495057 652082 660076 698904 978123 990114 1304164 1320152 1397808 1485171 1956246 1980228 2608328 2640304 2934369 2970342 3912492 3960456 5216656 5542697 5868738 5940684 7824984 7920912 11085394 11737476 11881368 15649968 16628091 22170788 23474952 23762736 33256182 44341576 46949904 49884273 66512364 88683152 94225849 99768546 133024728 188451698 199537092 266049456 282677547 376903396 399074184 565355094 753806792 798148368 848032641 1130710188 1507613584 1696065282 2261420376 3392130564 4522840752 6784261128 13568522256