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26455085568 = 293317112571
BaseRepresentation
bin11000101000110110…
…001001001000000000
32112021200220120222000
4120220312021020000
5413140000214233
620053040144000
71624403342232
oct305066111000
975250816860
1026455085568
111024622a38a
125163908000
132657b310b2
1413cd718252
15a4c7e8d13
hex628d89200

26455085568 has 160 divisors (see below), whose sum is σ = 82916032320. Its totient is φ = 8299560960.

The previous prime is 26455085561. The next prime is 26455085639. The reversal of 26455085568 is 86558055462.

It is a happy number.

26455085568 is a `hidden beast` number, since 2 + 6 + 4 + 550 + 85 + 5 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26455085561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178723 + ... + 291293.

It is an arithmetic number, because the mean of its divisors is an integer number (518225202).

Almost surely, 226455085568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26455085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41458016160).

26455085568 is an abundant number, since it is smaller than the sum of its proper divisors (56460946752).

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

26455085568 is a wasteful number, since it uses less digits than its factorization.

26455085568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112615 (or 112593 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 26455085568 in words is "twenty-six billion, four hundred fifty-five million, eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4608 4896 6528 6912 7344 8704 9792 13056 13824 14688 19584 26112 29376 39168 58752 78336 112571 117504 225142 235008 337713 450284 675426 900568 1013139 1350852 1801136 1913707 2026278 2701704 3039417 3602272 3827414 4052556 5403408 5741121 6078834 7204544 7654828 8105112 10806816 11482242 12157668 14409088 15309656 16210224 17223363 21613632 22964484 24315336 28818176 30619312 32420448 34446726 43227264 45928968 48630672 51670089 57636352 61238624 64840896 68893452 86454528 91857936 97261344 103340178 122477248 129681792 137786904 172909056 183715872 194522688 206680356 244954496 259363584 275573808 367431744 389045376 413360712 489908992 518727168 551147616 734863488 778090752 826721424 979817984 1102295232 1469726976 1556181504 1653442848 2204590464 2939453952 3306885696 4409180928 6613771392 8818361856 13227542784 26455085568