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13667175397 is a prime number
BaseRepresentation
bin11001011101010000…
…01000101111100101
31022021111012110001101
430232220020233211
5210442244103042
610140103000101
7662454034261
oct145650105745
938244173041
1013667175397
115883845187
122795139031
13139a68a545
149391db0a1
1554ecdd6b7
hex32ea08be5

13667175397 has 2 divisors, whose sum is σ = 13667175398. Its totient is φ = 13667175396.

The previous prime is 13667175331. The next prime is 13667175409. The reversal of 13667175397 is 79357176631.

13667175397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10273646881 + 3393528516 = 101359^2 + 58254^2 .

It is a cyclic number.

It is not a de Polignac number, because 13667175397 - 223 = 13658786789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13667175497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6833587698 + 6833587699.

It is an arithmetic number, because the mean of its divisors is an integer number (6833587699).

Almost surely, 213667175397 is an apocalyptic number.

It is an amenable number.

13667175397 is a deficient number, since it is larger than the sum of its proper divisors (1).

13667175397 is an equidigital number, since it uses as much as digits as its factorization.

13667175397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5000940, while the sum is 55.

The spelling of 13667175397 in words is "thirteen billion, six hundred sixty-seven million, one hundred seventy-five thousand, three hundred ninety-seven".