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256552198656 = 2931331414457
BaseRepresentation
bin1110111011101110110…
…0111110001000000000
3220112012120020000221120
43232323230332020000
513200404330324111
6313505231552240
724351413464515
oct3567354761000
9815176200846
10256552198656
1199892034066
124187a98b680
131b267687b10
14c5baac330c
156a1817b406
hex3bbbb3e200

256552198656 has 160 divisors (see below), whose sum is σ = 759791036928. Its totient is φ = 76392529920.

The previous prime is 256552198621. The next prime is 256552198663. The reversal of 256552198656 is 656891255652.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 256552198656.

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, 411780 + ... + 826236.

Almost surely, 2256552198656 is an apocalyptic number.

256552198656 is a gapful number since it is divisible by the number (26) 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 256552198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379895518464).

256552198656 is an abundant number, since it is smaller than the sum of its proper divisors (503238838272).

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

256552198656 is a wasteful number, since it uses less digits than its factorization.

256552198656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414522 (or 414506 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 60.

The spelling of 256552198656 in words is "two hundred fifty-six billion, five hundred fifty-two million, one hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 512 624 744 768 806 832 992 1209 1248 1488 1536 1612 1664 1984 2418 2496 2976 3224 3328 3968 4836 4992 5952 6448 6656 7936 9672 9984 11904 12896 15872 19344 19968 23808 25792 38688 47616 51584 77376 103168 154752 206336 309504 414457 619008 828914 1243371 1657828 2486742 3315656 4973484 5387941 6631312 9946968 10775882 12848167 13262624 16163823 19893936 21551764 25696334 26525248 32327646 38544501 39787872 43103528 51392668 53050496 64655292 77089002 79575744 86207056 102785336 106100992 129310584 154178004 159151488 167026171 172414112 205570672 212201984 258621168 308356008 318302976 334052342 344828224 411141344 501078513 517242336 616712016 636605952 668104684 689656448 822282688 1002157026 1034484672 1233424032 1336209368 1379312896 1644565376 2004314052 2068969344 2466848064 2672418736 2758625792 3289130752 4008628104 4137938688 4933696128 5344837472 6578261504 8017256208 8275877376 9867392256 10689674944 16034512416 19734784512 21379349888 32069024832 42758699776 64138049664 85517399552 128276099328 256552198656