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10678075785 = 32513171073713
BaseRepresentation
bin10011111000111011…
…01000000110001001
31000120011200110020100
421330131220012021
5133332041411120
64523324120013
7525420101166
oct117435500611
930504613210
1010678075785
11458a54a423
1220a0096009
131012321650
1473423106d
1542769e490
hex27c768189

10678075785 has 48 divisors (see below), whose sum is σ = 21104922384. Its totient is φ = 4947664896.

The previous prime is 10678075763. The next prime is 10678075801. The reversal of 10678075785 is 58757087601.

It is a happy number.

10678075785 is a `hidden beast` number, since 1 + 0 + 67 + 8 + 0 + 7 + 578 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1402652304 + 9275423481 = 37452^2 + 96309^2 .

It is not a de Polignac number, because 10678075785 - 214 = 10678059401 is a prime.

It is a super-2 number, since 2×106780757852 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526912 + ... + 546801.

It is an arithmetic number, because the mean of its divisors is an integer number (439685883).

Almost surely, 210678075785 is an apocalyptic number.

10678075785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10678075785 is a deficient number, since it is larger than the sum of its proper divisors (10426846599).

10678075785 is a wasteful number, since it uses less digits than its factorization.

10678075785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073754 (or 1073751 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 10678075785 in words is "ten billion, six hundred seventy-eight million, seventy-five thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 585 663 765 1105 1989 3315 9945 1073713 3221139 5368565 9663417 13958269 16105695 18253121 41874807 48317085 54759363 69791345 91265605 125624421 164278089 209374035 237290573 273796815 628122105 711871719 821390445 1186452865 2135615157 3559358595 10678075785