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12719206656 = 283313141551
BaseRepresentation
bin10111101100001111…
…11011000100000000
31012211102102122102000
423312013323010000
5202022104103111
65502040424000
7630123321102
oct136607730400
935742378360
1012719206656
11543772a242
12256b778000
13127916a1b0
14889355572
154e6988c56
hex2f61fb100

12719206656 has 144 divisors (see below), whose sum is σ = 40506520320. Its totient is φ = 3913574400.

The previous prime is 12719206649. The next prime is 12719206667. The reversal of 12719206656 is 65660291721.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19081 + ... + 160631.

It is an arithmetic number, because the mean of its divisors is an integer number (281295280).

Almost surely, 212719206656 is an apocalyptic number.

12719206656 is a gapful number since it is divisible by the number (16) 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 12719206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20253260160).

12719206656 is an abundant number, since it is smaller than the sum of its proper divisors (27787313664).

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

12719206656 is a wasteful number, since it uses less digits than its factorization.

12719206656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141589 (or 141569 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12719206656 in words is "twelve billion, seven hundred nineteen million, two hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 44928 89856 141551 283102 424653 566204 849306 1132408 1273959 1698612 1840163 2264816 2547918 3397224 3680326 3821877 4529632 5095836 5520489 6794448 7360652 7643754 9059264 10191672 11040978 13588896 14721304 15287508 16561467 18118528 20383344 22081956 27177792 29442608 30575016 33122934 36237056 40766688 44163912 49684401 54355584 58885216 61150032 66245868 81533376 88327824 99368802 108711168 117770432 122300064 132491736 163066752 176655648 198737604 235540864 244600128 264983472 326133504 353311296 397475208 471081728 489200256 529966944 706622592 794950416 978400512 1059933888 1413245184 1589900832 2119867776 3179801664 4239735552 6359603328 12719206656