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10785684114 = 234312837589
BaseRepresentation
bin10100000101110000…
…00111101010010010
31000211200011112010000
422002320013222102
5134042113342424
64542130350430
7531164542122
oct120270075222
930750145100
1010785684114
114635268127
12211012b416
13102b6ca20a
14744642c82
15431d583c9
hex282e07a92

10785684114 has 80 divisors (see below), whose sum is σ = 25038984960. Its totient is φ = 3466501920.

The previous prime is 10785684067. The next prime is 10785684139. The reversal of 10785684114 is 41148658701.

10785684114 is a `hidden beast` number, since 1 + 0 + 78 + 568 + 4 + 1 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10785684114.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1417432 + ... + 1425020.

It is an arithmetic number, because the mean of its divisors is an integer number (312987312).

Almost surely, 210785684114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10785684114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519492480).

10785684114 is an abundant number, since it is smaller than the sum of its proper divisors (14253300846).

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

10785684114 is a wasteful number, since it uses less digits than its factorization.

10785684114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7917 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10785684114 in words is "ten billion, seven hundred eighty-five million, six hundred eighty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 283 558 566 837 849 1674 1698 2511 2547 5022 5094 7589 7641 8773 15178 15282 17546 22767 22923 26319 45534 45846 52638 68301 78957 136602 157914 204903 235259 236871 409806 470518 473742 614709 705777 710613 1229418 1411554 1421226 2117331 2147687 4234662 4295374 6351993 6443061 12703986 12886122 19055979 19329183 38111958 38658366 57987549 66578297 115975098 133156594 173962647 199734891 347925294 399469782 599204673 1198409346 1797614019 3595228038 5392842057 10785684114