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12427775913697 is a prime number
BaseRepresentation
bin1011010011011001000100…
…1010110010111011100001
31122000002021001221002022121
42310312101022302323201
53112104041113214242
642233124052304241
72421606605204524
oct264662112627341
948002231832277
1012427775913697
113a6165456a281
121488705012081
136c1c1b6aa301
1430d716a7cbbb
1516841d069667
hexb4d912b2ee1

12427775913697 has 2 divisors, whose sum is σ = 12427775913698. Its totient is φ = 12427775913696.

The previous prime is 12427775913673. The next prime is 12427775913713. The reversal of 12427775913697 is 79631957772421.

12427775913697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8737723169296 + 3690052744401 = 2955964^2 + 1920951^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12427775913697 is a prime.

It is a super-2 number, since 2×124277759136972 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12427775943697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6213887956848 + 6213887956849.

It is an arithmetic number, because the mean of its divisors is an integer number (6213887956849).

Almost surely, 212427775913697 is an apocalyptic number.

It is an amenable number.

12427775913697 is a deficient number, since it is larger than the sum of its proper divisors (1).

12427775913697 is an equidigital number, since it uses as much as digits as its factorization.

12427775913697 is an evil number, because the sum of its binary digits is even.

The product of its digits is 280052640, while the sum is 70.

The spelling of 12427775913697 in words is "twelve trillion, four hundred twenty-seven billion, seven hundred seventy-five million, nine hundred thirteen thousand, six hundred ninety-seven".