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256065731633232 = 24331493459186477
BaseRepresentation
bin111010001110001111110010…
…111110010010000001010000
31020120122122102002222211001000
4322032033302332102001100
5232030340104244230412
62304334550110542000
7104636065353153603
oct7216176276220120
91216578362884030
10256065731633232
1174654959983814
1224877307507900
13acb5b83094281
14473390cbc233a
151e90ccd6b14dc
hexe8e3f2f92050

256065731633232 has 160 divisors (see below), whose sum is σ = 735664499458560. Its totient is φ = 85278508024320.

The previous prime is 256065731633221. The next prime is 256065731633233. The reversal of 256065731633232 is 232336137560652.

256065731633232 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 6 + 573 + 1 + 6 + 3 + 32 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256065731633233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2961041578 + ... + 2961128054.

It is an arithmetic number, because the mean of its divisors is an integer number (4597903121616).

Almost surely, 2256065731633232 is an apocalyptic number.

It is an amenable number.

256065731633232 is an abundant number, since it is smaller than the sum of its proper divisors (479598767825328).

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

256065731633232 is a wasteful number, since it uses less digits than its factorization.

256065731633232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92578 (or 92566 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 54.

The spelling of 256065731633232 in words is "two hundred fifty-six trillion, sixty-five billion, seven hundred thirty-one million, six hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1493 2986 4479 4591 5972 8958 9182 11944 13437 13773 17916 18364 23888 26874 27546 35832 36728 40311 41319 53748 55092 71664 73456 80622 82638 86477 107496 110184 123957 161244 165276 172954 214992 220368 247914 259431 322488 330552 345908 495828 518862 644976 661104 691816 778293 991656 1037724 1383632 1556586 1983312 2075448 2334879 3113172 4150896 4669758 6226344 6854363 9339516 12452688 13708726 18679032 20563089 27417452 37358064 41126178 54834904 61689267 82252356 109669808 123378534 129110161 164504712 185067801 246757068 258220322 329009424 370135602 387330483 397015907 493514136 516440644 740271204 774660966 794031814 987028272 1032881288 1161991449 1191047721 1480542408 1549321932 1588063628 2065762576 2323982898 2382095442 2961084816 3098643864 3176127256 3485974347 3573143163 4647965796 4764190884 6197287728 6352254512 6971948694 7146286326 9295931592 9528381768 10719429489 13943897388 14292572652 18591863184 19056763536 21438858978 27887794776 28585145304 42877717956 55775589552 57170290608 85755435912 171510871824 592744749151 1185489498302 1778234247453 2370978996604 3556468494906 4741957993208 5334702742359 7112936989812 9483915986416 10669405484718 14225873979624 16004108227077 21338810969436 28451747959248 32008216454154 42677621938872 64016432908308 85355243877744 128032865816616 256065731633232