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13468139753729 is a prime number
BaseRepresentation
bin1100001111111100101110…
…1011111001000100000001
31202200112121211001000222212
43003333023223321010001
53231130222234104404
644351102240111505
72560020026013503
oct303771353710401
952615554030885
1013468139753729
114322895860651
121616270905595
1376906a218c5b
14347c0bb23d73
1518550d1d706e
hexc3fcbaf9101

13468139753729 has 2 divisors, whose sum is σ = 13468139753730. Its totient is φ = 13468139753728.

The previous prime is 13468139753723. The next prime is 13468139753779. The reversal of 13468139753729 is 92735793186431.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7829794523329 + 5638345230400 = 2798177^2 + 2374520^2 .

It is an emirp because it is prime and its reverse (92735793186431) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13468139753729 is a prime.

It is not a weakly prime, because it can be changed into another prime (13468139753723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6734069876864 + 6734069876865.

It is an arithmetic number, because the mean of its divisors is an integer number (6734069876865).

Almost surely, 213468139753729 is an apocalyptic number.

It is an amenable number.

13468139753729 is a deficient number, since it is larger than the sum of its proper divisors (1).

13468139753729 is an equidigital number, since it uses as much as digits as its factorization.

13468139753729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 205752960, while the sum is 68.

The spelling of 13468139753729 in words is "thirteen trillion, four hundred sixty-eight billion, one hundred thirty-nine million, seven hundred fifty-three thousand, seven hundred twenty-nine".