Search a number
-
+
12627694390117 is a prime number
BaseRepresentation
bin1011011111000001110100…
…1111010000101101100101
31122201012021201210221111011
42313300131033100231211
53123343004230440432
642505025511142221
72442215016211462
oct267603517205545
948635251727434
1012627694390117
114029414309614
1214bb3b9374971
13707a2bb54781
1431927ddbc669
1516d71e288847
hexb7c1d3d0b65

12627694390117 has 2 divisors, whose sum is σ = 12627694390118. Its totient is φ = 12627694390116.

The previous prime is 12627694390111. The next prime is 12627694390211. The reversal of 12627694390117 is 71109349672621.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7408119029796 + 5219575360321 = 2721786^2 + 2284639^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12627694390117 is a prime.

It is a super-2 number, since 2×126276943901172 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12627694390111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6313847195058 + 6313847195059.

It is an arithmetic number, because the mean of its divisors is an integer number (6313847195059).

Almost surely, 212627694390117 is an apocalyptic number.

It is an amenable number.

12627694390117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12627694390117 is an equidigital number, since it uses as much as digits as its factorization.

12627694390117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6858432, while the sum is 58.

The spelling of 12627694390117 in words is "twelve trillion, six hundred twenty-seven billion, six hundred ninety-four million, three hundred ninety thousand, one hundred seventeen".