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12427315318417 is a prime number
BaseRepresentation
bin1011010011010111010110…
…1101110000111010010001
31122000001001222020102101011
42310311311231300322101
53112102120210142132
642233010240210521
72421562313206246
oct264656555607221
948001058212334
1012427315318417
113a6143857721a
1214885b6909a41
136c1b77140b1c
1430d6b18235cd
151683e28d6b47
hexb4d75b70e91

12427315318417 has 2 divisors, whose sum is σ = 12427315318418. Its totient is φ = 12427315318416.

The previous prime is 12427315318277. The next prime is 12427315318447. The reversal of 12427315318417 is 71481351372421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7168920570256 + 5258394748161 = 2677484^2 + 2293119^2 .

It is a cyclic number.

It is not a de Polignac number, because 12427315318417 - 223 = 12427306929809 is a prime.

It is not a weakly prime, because it can be changed into another prime (12427315318447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6213657659208 + 6213657659209.

It is an arithmetic number, because the mean of its divisors is an integer number (6213657659209).

Almost surely, 212427315318417 is an apocalyptic number.

It is an amenable number.

12427315318417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12427315318417 is an equidigital number, since it uses as much as digits as its factorization.

12427315318417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1128960, while the sum is 49.

The spelling of 12427315318417 in words is "twelve trillion, four hundred twenty-seven billion, three hundred fifteen million, three hundred eighteen thousand, four hundred seventeen".