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13420717583 = 713192408533
BaseRepresentation
bin11000111111110111…
…11110011000001111
31021122022110002111012
430133323332120033
5204441200430313
610055420315435
7653402134340
oct143773763017
937568402435
1013420717583
115767710839
1227266a2b7b
13135b5b8210
149145a40c7
15538358da8
hex31fefe60f

13420717583 has 24 divisors (see below), whose sum is σ = 17432962848. Its totient is φ = 10059691968.

The previous prime is 13420717571. The next prime is 13420717613. The reversal of 13420717583 is 38571702431.

It is not a de Polignac number, because 13420717583 - 214 = 13420701199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13420717583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420717183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171416 + ... + 237117.

It is an arithmetic number, because the mean of its divisors is an integer number (726373452).

Almost surely, 213420717583 is an apocalyptic number.

13420717583 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13420717583 is a deficient number, since it is larger than the sum of its proper divisors (4012245265).

13420717583 is a wasteful number, since it uses less digits than its factorization.

13420717583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408591 (or 408572 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 13420717583 in words is "thirteen billion, four hundred twenty million, seven hundred seventeen thousand, five hundred eighty-three".

Divisors: 1 7 13 19 91 133 247 361 1729 2527 4693 32851 408533 2859731 5310929 7762127 37176503 54334889 100907651 147480413 706353557 1032362891 1917245369 13420717583