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10560611106056 = 23112257292714503
BaseRepresentation
bin1001100110101101010101…
…1110010011110100001000
31101101120210010221011201202
42121223111132103310020
52341011112420343211
634243251110403332
72136656534204654
oct231532536236410
941346703834652
1010560611106056
113401803722600
121226873360548
135b7b2751a19b
142871ca03da64
15134a8bc8c53b
hex99ad5793d08

10560611106056 has 96 divisors (see below), whose sum is σ = 21858556043520. Its totient is φ = 4779636449280.

The previous prime is 10560611106047. The next prime is 10560611106061. The reversal of 10560611106056 is 65060111606501.

10560611106056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×105606111060563 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728160101 + ... + 728174603.

It is an arithmetic number, because the mean of its divisors is an integer number (227693292120).

Almost surely, 210560611106056 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 10560611106056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10929278021760).

10560611106056 is an abundant number, since it is smaller than the sum of its proper divisors (11297944937464).

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

10560611106056 is a wasteful number, since it uses less digits than its factorization.

10560611106056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17715 (or 17700 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 10560611106056 in words is "ten trillion, five hundred sixty billion, six hundred eleven million, one hundred six thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 257 484 514 968 1028 2056 2827 2927 5654 5854 11308 11708 14503 22616 23416 29006 31097 32197 58012 62194 64394 116024 124388 128788 159533 248776 257576 319066 354167 638132 708334 752239 1276264 1416668 1504478 1754863 2833336 3008956 3509726 3727271 6017912 7019452 7454542 8274629 14038904 14909084 16549258 29818168 33098516 40999981 42450281 66197032 81999962 84900562 91020919 163999924 169801124 182041838 327999848 339602248 364083676 450999791 466953091 728167352 901999582 933906182 1803999164 1867812364 3607998328 3735624728 5136484001 10272968002 10909722217 20545936004 21819444434 41091872008 43638888868 87277777736 120006944387 240013888774 480027777548 960055555096 1320076388257 2640152776514 5280305553028 10560611106056