Search a number
-
+
13746615677 is a prime number
BaseRepresentation
bin11001100110101110…
…01011010101111101
31022111000200102121222
430303113023111331
5211123113200202
610152021403125
7664440206504
oct146327132575
938430612558
1013746615677
115914673903
1227b78694a5
1313b0c82c22
1494599983b
15556c814a2
hex3335cb57d

13746615677 has 2 divisors, whose sum is σ = 13746615678. Its totient is φ = 13746615676.

The previous prime is 13746615611. The next prime is 13746615679. The reversal of 13746615677 is 77651664731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10777346596 + 2969269081 = 103814^2 + 54491^2 .

It is a cyclic number.

It is not a de Polignac number, because 13746615677 - 210 = 13746614653 is a prime.

It is a super-2 number, since 2×137466156772 (a number of 21 digits) contains 22 as substring.

Together with 13746615679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13746615679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6873307838 + 6873307839.

It is an arithmetic number, because the mean of its divisors is an integer number (6873307839).

Almost surely, 213746615677 is an apocalyptic number.

It is an amenable number.

13746615677 is a deficient number, since it is larger than the sum of its proper divisors (1).

13746615677 is an equidigital number, since it uses as much as digits as its factorization.

13746615677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4445280, while the sum is 53.

The spelling of 13746615677 in words is "thirteen billion, seven hundred forty-six million, six hundred fifteen thousand, six hundred seventy-seven".