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10856091360 = 253525190107
BaseRepresentation
bin10100001110001001…
…01100111011100000
31001000120122120200210
422013010230323200
5134213124410420
64553123414120
7533011153062
oct120704547340
931016576623
1010856091360
114670a87134
12212b824340
13104017c1ca
1474db2d732
154381149e0
hex28712cee0

10856091360 has 96 divisors (see below), whose sum is σ = 34333310592. Its totient is φ = 2883392000.

The previous prime is 10856091359. The next prime is 10856091383. The reversal of 10856091360 is 6319065801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 75427 + ... + 165533.

It is an arithmetic number, because the mean of its divisors is an integer number (357638652).

Almost surely, 210856091360 is an apocalyptic number.

10856091360 is a gapful number since it is divisible by the number (10) 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 10856091360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17166655296).

10856091360 is an abundant number, since it is smaller than the sum of its proper divisors (23477219232).

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

10856091360 is a wasteful number, since it uses less digits than its factorization.

10856091360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90376 (or 90368 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 10856091360 in words is "ten billion, eight hundred fifty-six million, ninety-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 251 480 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 8032 10040 12048 15060 20080 24096 30120 40160 60240 90107 120480 180214 270321 360428 450535 540642 720856 901070 1081284 1351605 1441712 1802140 2162568 2703210 2883424 3604280 4325136 5406420 7208560 8650272 10812840 14417120 21625680 22616857 43251360 45233714 67850571 90467428 113084285 135701142 180934856 226168570 271402284 339252855 361869712 452337140 542804568 678505710 723739424 904674280 1085609136 1357011420 1809348560 2171218272 2714022840 3618697120 5428045680 10856091360