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10609056075 = 352716832917
BaseRepresentation
bin10011110000101100…
…10101100101001011
31000101100210212222210
421320112111211023
5133211404243300
64512420520203
7523621326432
oct117026254513
930340725883
1010609056075
114554598942
122080b50063
131000c37097
14728dc6119
154215b9050
hex27859594b

10609056075 has 48 divisors (see below), whose sum is σ = 17819502336. Its totient is φ = 5568393600.

The previous prime is 10609056067. The next prime is 10609056077. The reversal of 10609056075 is 57065090601.

10609056075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10609056075 - 23 = 10609056067 is a prime.

It is a super-2 number, since 2×106090560752 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10609056077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3635517 + ... + 3638433.

It is an arithmetic number, because the mean of its divisors is an integer number (371239632).

Almost surely, 210609056075 is an apocalyptic number.

10609056075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10609056075 is a deficient number, since it is larger than the sum of its proper divisors (7210446261).

10609056075 is a wasteful number, since it uses less digits than its factorization.

10609056075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

It can be divided in two parts, 106090 and 56075, that added together give a triangular number (162165 = T569).

The spelling of 10609056075 in words is "ten billion, six hundred nine million, fifty-six thousand, seventy-five".

Divisors: 1 3 5 15 25 71 75 213 355 683 1065 1775 2049 2917 3415 5325 8751 10245 14585 17075 43755 48493 51225 72925 145479 207107 218775 242465 621321 727395 1035535 1212325 1992311 3106605 3636975 5177675 5976933 9961555 15533025 29884665 49807775 141454081 149423325 424362243 707270405 2121811215 3536352025 10609056075