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9712873305 = 325215841629
BaseRepresentation
bin10010000101110111…
…01010111101011001
3221001220111002100100
421002323222331121
5124342443421210
64243444330013
7462460026612
oct110273527531
927056432310
109712873305
114134733523
121a709a3909
13bba379015
14681d80c09
153bca935c0
hex242eeaf59

9712873305 has 12 divisors (see below), whose sum is σ = 16835647140. Its totient is φ = 5180199072.

The previous prime is 9712873273. The next prime is 9712873327. The reversal of 9712873305 is 5033782179.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5372303616 + 4340569689 = 73296^2 + 65883^2 .

It is not a de Polignac number, because 9712873305 - 25 = 9712873273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 215841629 = 9712873305 / (9 + 7 + 1 + 2 + 8 + 7 + 3 + 3 + 0 + 5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107920770 + ... + 107920859.

It is an arithmetic number, because the mean of its divisors is an integer number (1402970595).

Almost surely, 29712873305 is an apocalyptic number.

It is an amenable number.

9712873305 is a deficient number, since it is larger than the sum of its proper divisors (7122773835).

9712873305 is a wasteful number, since it uses less digits than its factorization.

9712873305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215841640 (or 215841637 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 9712873305 is about 98553.9106530025. The cubic root of 9712873305 is about 2133.6142729921.

The spelling of 9712873305 in words is "nine billion, seven hundred twelve million, eight hundred seventy-three thousand, three hundred five".

Divisors: 1 3 5 9 15 45 215841629 647524887 1079208145 1942574661 3237624435 9712873305