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264441130421256 = 233314991085375253
BaseRepresentation
bin111100001000000111111111…
…101001001000110000001000
31021200022022210001102112102000
4330020013333221020300020
5234130100413341440011
62334230324521511000
7106462145505216105
oct7410077751106010
91250268701375360
10264441130421256
117729394317a6a8
12257aa567642460
13b4728cb598ca9
14494303a207aac
152088ac2372356
hexf081ffa48c08

264441130421256 has 128 divisors (see below), whose sum is σ = 735126224400000. Its totient is φ = 88078952634624.

The previous prime is 264441130421239. The next prime is 264441130421269. The reversal of 264441130421256 is 652124031144462.

264441130421256 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 41 + 130 + 421 + 2 + 56 = 666.

It is a super-2 number, since 2×2644411304212562 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3513990126 + ... + 3514065378.

It is an arithmetic number, because the mean of its divisors is an integer number (5743173628125).

Almost surely, 2264441130421256 is an apocalyptic number.

It is an amenable number.

264441130421256 is an abundant number, since it is smaller than the sum of its proper divisors (470685093978744).

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

264441130421256 is a wasteful number, since it uses less digits than its factorization.

264441130421256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87620 (or 87610 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 264441130421256 in words is "two hundred sixty-four trillion, four hundred forty-one billion, one hundred thirty million, four hundred twenty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1499 2998 4497 5996 8994 10853 11992 13491 17988 21706 26982 32559 35976 40473 43412 53964 65118 75253 80946 86824 97677 107928 130236 150506 161892 195354 225759 260472 293031 301012 323784 390708 451518 586062 602024 677277 781416 903036 1172124 1354554 1806072 2031831 2344248 2709108 4063662 5418216 8127324 16254648 16268647 32537294 48805941 65074588 97611882 112804247 130149176 146417823 195223764 225608494 292835646 338412741 390447528 439253469 451216988 585671292 676825482 816720809 878506938 902433976 1015238223 1171342584 1353650964 1633441618 1757013876 2030476446 2450162427 2707301928 3045714669 3266883236 3514027752 4060952892 4900324854 6091429338 6533766472 7350487281 8121905784 9800649708 12182858676 14700974562 19601299416 22051461843 24365717352 29401949124 44102923686 58803898248 88205847372 176411694744 1224264492691 2448528985382 3672793478073 4897057970764 7345586956146 9794115941528 11018380434219 14691173912292 22036760868438 29382347824584 33055141302657 44073521736876 66110282605314 88147043473752 132220565210628 264441130421256