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12627417137 is a prime number
BaseRepresentation
bin10111100001010011…
…10001100000110001
31012121000201020212012
423300221301200301
5201330104322022
65445001212305
7624630163136
oct136051614061
935530636765
1012627417137
11539a936435
122544a91095
13126313c87a
1487b0a058d
154dd8a6de2
hex2f0a71831

12627417137 has 2 divisors, whose sum is σ = 12627417138. Its totient is φ = 12627417136.

The previous prime is 12627417073. The next prime is 12627417161. The reversal of 12627417137 is 73171472621.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12454336801 + 173080336 = 111599^2 + 13156^2 .

It is a cyclic number.

It is not a de Polignac number, because 12627417137 - 26 = 12627417073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12627417094 and 12627417103.

It is not a weakly prime, because it can be changed into another prime (12627417167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6313708568 + 6313708569.

It is an arithmetic number, because the mean of its divisors is an integer number (6313708569).

Almost surely, 212627417137 is an apocalyptic number.

It is an amenable number.

12627417137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12627417137 is an equidigital number, since it uses as much as digits as its factorization.

12627417137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 98784, while the sum is 41.

Adding to 12627417137 its reverse (73171472621), we get a palindrome (85798889758).

The spelling of 12627417137 in words is "twelve billion, six hundred twenty-seven million, four hundred seventeen thousand, one hundred thirty-seven".