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10085659785 = 335176172043
BaseRepresentation
bin10010110010010011…
…01111010010001001
3222000212221121021000
421121021233102021
5131123412103120
64344442405213
7504634456635
oct113111572211
928025847230
1010085659785
114306101523
121b55800809
13c4967ca36
146b969ddc5
153e067d990
hex25926f489

10085659785 has 64 divisors (see below), whose sum is σ = 19296264960. Its totient is φ = 4979543040.

The previous prime is 10085659783. The next prime is 10085659789. The reversal of 10085659785 is 58795658001.

10085659785 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 565 + 9 + 78 + 5 = 666.

It is not a de Polignac number, because 10085659785 - 21 = 10085659783 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10085659783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103974 + ... + 176016.

It is an arithmetic number, because the mean of its divisors is an integer number (301504140).

Almost surely, 210085659785 is an apocalyptic number.

10085659785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10085659785 is a deficient number, since it is larger than the sum of its proper divisors (9210605175).

10085659785 is a wasteful number, since it uses less digits than its factorization.

10085659785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72135 (or 72129 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 10085659785 in words is "ten billion, eighty-five million, six hundred fifty-nine thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 61 85 135 153 183 255 305 459 549 765 915 1037 1647 2295 2745 3111 5185 8235 9333 15555 27999 46665 72043 139995 216129 360215 648387 1080645 1224731 1945161 3241935 3674193 4394623 6123655 9725805 11022579 13183869 18370965 21973115 33067737 39551607 55112895 65919345 74708591 118654821 165338685 197758035 224125773 373542955 593274105 672377319 1120628865 2017131957 3361886595 10085659785