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13682428631 = 17829970867
BaseRepresentation
bin11001011111000100…
…10100101011010111
31022022112220101112222
430233202110223113
5211010200204011
610141405532555
7663030503324
oct145742245327
938275811488
1013682428631
115891413163
12279a27415b
1313a089b221
1493b24bb4b
15551302ddb
hex32f894ad7

13682428631 has 8 divisors (see below), whose sum is σ = 14504767920. Its totient is φ = 12862032768.

The previous prime is 13682428609. The next prime is 13682428633.

13682428631 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13682428631 - 26 = 13682428567 is a prime.

It is a super-2 number, since 2×136824286312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13682428633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471341 + ... + 499526.

It is an arithmetic number, because the mean of its divisors is an integer number (1813095990).

Almost surely, 213682428631 is an apocalyptic number.

13682428631 is a deficient number, since it is larger than the sum of its proper divisors (822339289).

13682428631 is an equidigital number, since it uses as much as digits as its factorization.

13682428631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971713.

The product of its digits is 331776, while the sum is 44.

The spelling of 13682428631 in words is "thirteen billion, six hundred eighty-two million, four hundred twenty-eight thousand, six hundred thirty-one".

Divisors: 1 17 829 14093 970867 16504739 804848743 13682428631