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86170305313 = 1719280395177
BaseRepresentation
bin101000001000000100…
…1101000001100100001
322020102100122001122101
41100100021220030201
52402434044232223
6103330332410401
76140244336631
oct1202011501441
9266370561571
1086170305313
11335a9988864
121484a316a01
13818358bb51
14425643a6c1
1523950474ad
hex1410268321

86170305313 has 16 divisors (see below), whose sum is σ = 96076480320. Its totient is φ = 76804747776.

The previous prime is 86170305289. The next prime is 86170305323. The reversal of 86170305313 is 31350307168.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 86170305313 - 25 = 86170305281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86170305323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857781 + ... + 952957.

It is an arithmetic number, because the mean of its divisors is an integer number (6004780020).

Almost surely, 286170305313 is an apocalyptic number.

It is an amenable number.

86170305313 is a deficient number, since it is larger than the sum of its proper divisors (9906175007).

86170305313 is a wasteful number, since it uses less digits than its factorization.

86170305313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98016.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 86170305313 in words is "eighty-six billion, one hundred seventy million, three hundred five thousand, three hundred thirteen".

Divisors: 1 17 19 323 2803 47651 53257 95177 905369 1618009 1808363 30742171 266781131 4535279227 5068841489 86170305313