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10343656661 = 132519711777
BaseRepresentation
bin10011010001000011…
…11010110011010101
3222200212102012102212
421220201322303111
5132140434003121
64430220243205
7514216426262
oct115041726325
928625365385
1010343656661
1144287a7388
1220080a0505
13c8ac62300
14701a5c269
1540814225b
hex26887acd5

10343656661 has 12 divisors (see below), whose sum is σ = 11203634052. Its totient is φ = 9545342976.

The previous prime is 10343656637. The next prime is 10343656667. The reversal of 10343656661 is 16665634301.

10343656661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 955984561 + 9387672100 = 30919^2 + 96890^2 .

It is not a de Polignac number, because 10343656661 - 226 = 10276547797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343656667) 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 11 ways as a sum of consecutive naturals, for example, 872405 + ... + 884181.

It is an arithmetic number, because the mean of its divisors is an integer number (933636171).

Almost surely, 210343656661 is an apocalyptic number.

It is an amenable number.

10343656661 is a deficient number, since it is larger than the sum of its proper divisors (859977391).

10343656661 is a wasteful number, since it uses less digits than its factorization.

10343656661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17000 (or 16987 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 10343656661 in words is "ten billion, three hundred forty-three million, six hundred fifty-six thousand, six hundred sixty-one".

Divisors: 1 13 169 5197 11777 67561 153101 878293 1990313 61205069 795665897 10343656661