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13664446631 = 11331331171
BaseRepresentation
bin11001011100111011…
…01110100010100111
31022021022001210212222
430232131232202213
5210441044243011
610135524302555
7662421610553
oct145635564247
938238053788
1013664446631
115882251000
122794241a5b
131399c434a4
14938aca863
1554e94eddb
hex32e76e8a7

13664446631 has 16 divisors (see below), whose sum is σ = 15514745856. Its totient is φ = 12021471000.

The previous prime is 13664446583. The next prime is 13664446699.

13664446631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13664446631 - 26 = 13664446567 is a prime.

It is a super-2 number, since 2×136644466312 (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 (13664440631) 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, 124325 + ... + 206846.

It is an arithmetic number, because the mean of its divisors is an integer number (969671616).

Almost surely, 213664446631 is an apocalyptic number.

13664446631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13664446631 is a deficient number, since it is larger than the sum of its proper divisors (1850299225).

13664446631 is an equidigital number, since it uses as much as digits as its factorization.

13664446631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331235 (or 331213 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

The spelling of 13664446631 in words is "thirteen billion, six hundred sixty-four million, four hundred forty-six thousand, six hundred thirty-one".

Divisors: 1 11 31 121 341 1331 3751 41261 331171 3642881 10266301 40071691 112929311 440788601 1242222421 13664446631