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13171271014717 = 1372334091008853
BaseRepresentation
bin1011111110101010110011…
…1011100001100100111101
31201122011100112010112210221
42333222230323201210331
53211244230334432332
644002444240501341
72526410242245664
oct277525473414475
951564315115727
1013171271014717
1142189a5128052
12158882001a851
1374707903c2ca
143376c87d5ddb
1517c935899297
hexbfaacee193d

13171271014717 has 16 divisors (see below), whose sum is σ = 13356944480880. Its totient is φ = 12987169708032.

The previous prime is 13171271014679. The next prime is 13171271014751. The reversal of 13171271014717 is 71741017217131.

It can be written as a sum of positive squares in 8 ways, for example, as 177185432356 + 12994085582361 = 420934^2 + 3604731^2 .

It is a cyclic number.

It is not a de Polignac number, because 13171271014717 - 219 = 13171270490429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13171271014417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12551263 + ... + 13560115.

It is an arithmetic number, because the mean of its divisors is an integer number (834809030055).

Almost surely, 213171271014717 is an apocalyptic number.

It is an amenable number.

13171271014717 is a deficient number, since it is larger than the sum of its proper divisors (185673466163).

13171271014717 is a wasteful number, since it uses less digits than its factorization.

13171271014717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009632.

The product of its (nonzero) digits is 57624, while the sum is 43.

The spelling of 13171271014717 in words is "thirteen trillion, one hundred seventy-one billion, two hundred seventy-one million, fourteen thousand, seven hundred seventeen".

Divisors: 1 137 233 409 31921 56033 95297 1008853 13055689 138212861 235062749 412620877 32203596613 56529060149 96140664341 13171271014717