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14680108641 = 3113712023021
BaseRepresentation
bin11011010110000000…
…01010111001100001
31101220002012210020110
431223000022321201
5220031101434031
610424405401533
71026533602362
oct155300127141
941802183213
1014680108641
1162535a19a0
122a184092a9
1314cc4a5423
149d3953b69
155adbc6c46
hex36b00ae61

14680108641 has 16 divisors (see below), whose sum is σ = 21929992128. Its totient is φ = 8656574400.

The previous prime is 14680108601. The next prime is 14680108673.

14680108641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14680108641 - 217 = 14679977569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14680108641.

It is not an unprimeable number, because it can be changed into a prime (14680108601) 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, 6010290 + ... + 6012731.

It is an arithmetic number, because the mean of its divisors is an integer number (1370624508).

Almost surely, 214680108641 is an apocalyptic number.

14680108641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14680108641 is a deficient number, since it is larger than the sum of its proper divisors (7249883487).

14680108641 is a wasteful number, since it uses less digits than its factorization.

14680108641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12023072.

The product of its (nonzero) digits is 36864, while the sum is 39.

It can be divided in two parts, 14680 and 108641, that added together give a palindrome (123321).

The spelling of 14680108641 in words is "fourteen billion, six hundred eighty million, one hundred eight thousand, six hundred forty-one".

Divisors: 1 3 11 33 37 111 407 1221 12023021 36069063 132253231 396759693 444851777 1334555331 4893369547 14680108641