Search a number
-
+
41560426505664 = 2632116559410749
BaseRepresentation
bin10010111001100100010100…
…11101010110010111000000
312110011010201120200200120100
421130302022131112113000
520421411223141140124
6224220332451442400
711516433053354523
oct1134621235262700
9173133646620510
1041560426505664
1112273750314540
1247b28328b6400
131a26192900161
14a3976d0dcbba
154c1136eb61c9
hex25cc8a7565c0

41560426505664 has 84 divisors (see below), whose sum is σ = 129955045779000. Its totient is φ = 12594068636160.

The previous prime is 41560426505659. The next prime is 41560426505681. The reversal of 41560426505664 is 46650562406514.

41560426505664 is a `hidden beast` number, since 4 + 1 + 5 + 6 + 0 + 4 + 26 + 50 + 566 + 4 = 666.

It is a super-2 number, since 2×415604265056642 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41560426505664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3279699039 + ... + 3279711710.

Almost surely, 241560426505664 is an apocalyptic number.

41560426505664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41560426505664 is an abundant number, since it is smaller than the sum of its proper divisors (88394619273336).

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

41560426505664 is a wasteful number, since it uses less digits than its factorization.

41560426505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559410778 (or 6559410765 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 41560426505664 in words is "forty-one trillion, five hundred sixty billion, four hundred twenty-six million, five hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 6559410749 13118821498 19678232247 26237642996 39356464494 52475285992 59034696741 72153518239 78712928988 104950571984 118069393482 144307036478 157425857976 209901143968 216460554717 236138786964 288614072956 314851715952 419802287936 432921109434 472277573928 577228145912 629703431904 649381664151 865842218868 944555147856 1154456291824 1259406863808 1298763328302 1731684437736 1889110295712 2308912583648 2597526656604 3463368875472 3778220591424 4617825167296 5195053313208 6926737750944 10390106626416 13853475501888 20780213252832 41560426505664