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13986137169 = 327924992
BaseRepresentation
bin11010000011010001…
…11000010001010001
31100002201101101100100
431001220320101101
5212120422342134
610231455243013
71003406130054
oct150150702121
940081341310
1013986137169
115a2789a954
122863b19469
13141b797014
14969708a9b
1556cce5999
hex341a38451

13986137169 has 27 divisors (see below), whose sum is σ = 20502245673. Its totient is φ = 9187615944.

The previous prime is 13986137149. The next prime is 13986137171. The reversal of 13986137169 is 96173168931.

It is a happy number.

The square root of 13986137169 is 118263.

It is a perfect power (a square), and thus also a powerful number.

13986137169 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 613 + 7 + 16 + 9 = 666.

It is not a de Polignac number, because 13986137169 - 215 = 13986104401 is a prime.

It is a super-2 number, since 2×139861371692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13986137149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28028082 + ... + 28028580.

Almost surely, 213986137169 is an apocalyptic number.

13986137169 is the 118263-rd square number.

13986137169 is the 59132-nd centered octagonal number.

It is an amenable number.

13986137169 is a deficient number, since it is larger than the sum of its proper divisors (6516108504).

13986137169 is an frugal number, since it uses more digits than its factorization.

13986137169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 581 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 13986137169 in words is "thirteen billion, nine hundred eighty-six million, one hundred thirty-seven thousand, one hundred sixty-nine".

Divisors: 1 3 9 79 237 499 711 1497 4491 6241 18723 39421 56169 118263 249001 354789 747003 2241009 3114259 9342777 19671079 28028331 59013237 177039711 1554015241 4662045723 13986137169