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13982915081169 = 341067211617569
BaseRepresentation
bin1100101101111010011010…
…1011111011001111010001
31211111202100101122011010000
43023132212223323033101
53313044002230044134
645423355034000213
72642142446055426
oct313364653731721
954452311564100
1013982915081169
114501137036261
121699b95b76069
137a577749a618
14364ac33a5d4d
15193adb04ee99
hexcb7a6afb3d1

13982915081169 has 20 divisors (see below), whose sum is σ = 20888266970340. Its totient is φ = 9321850275840.

The previous prime is 13982915081167. The next prime is 13982915081189. The reversal of 13982915081169 is 96118051928931.

13982915081169 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 2 + 9 + 1 + 508 + 116 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3417554887569 + 10565360193600 = 1848663^2 + 3250440^2 .

It is not a de Polignac number, because 13982915081169 - 21 = 13982915081167 is a prime.

It is a super-2 number, since 2×139829150811692 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13982915081167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7835617 + ... + 9453185.

It is an arithmetic number, because the mean of its divisors is an integer number (1044413348517).

Almost surely, 213982915081169 is an apocalyptic number.

It is an amenable number.

13982915081169 is a deficient number, since it is larger than the sum of its proper divisors (6905351889171).

13982915081169 is a wasteful number, since it uses less digits than its factorization.

13982915081169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724302 (or 1724293 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 63.

The spelling of 13982915081169 in words is "thirteen trillion, nine hundred eighty-two billion, nine hundred fifteen million, eighty-one thousand, one hundred sixty-nine".

Divisors: 1 3 9 27 81 106721 320163 960489 1617569 2881467 4852707 8644401 14558121 43674363 131023089 172628581249 517885743747 1553657231241 4660971693723 13982915081169