Search a number
-
+
12927828757073 is a prime number
BaseRepresentation
bin1011110000011111111010…
…1001000000101001010001
31200202212222121120112001012
42330013332221000221101
53143302143130211243
643254543524220305
72503001435223416
oct274077651005121
950685877515035
1012927828757073
11413473033a78a
1215495bb83a695
1372a12076a749
143299d2cda10d
15176438639d18
hexbc1fea40a51

12927828757073 has 2 divisors, whose sum is σ = 12927828757074. Its totient is φ = 12927828757072.

The previous prime is 12927828757013. The next prime is 12927828757099. The reversal of 12927828757073 is 37075782872921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12922817108224 + 5011648849 = 3594832^2 + 70793^2 .

It is a cyclic number.

It is not a de Polignac number, because 12927828757073 - 218 = 12927828494929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12927828756994 and 12927828757012.

It is not a weakly prime, because it can be changed into another prime (12927828757013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6463914378536 + 6463914378537.

It is an arithmetic number, because the mean of its divisors is an integer number (6463914378537).

Almost surely, 212927828757073 is an apocalyptic number.

It is an amenable number.

12927828757073 is a deficient number, since it is larger than the sum of its proper divisors (1).

12927828757073 is an equidigital number, since it uses as much as digits as its factorization.

12927828757073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165957120, while the sum is 68.

The spelling of 12927828757073 in words is "twelve trillion, nine hundred twenty-seven billion, eight hundred twenty-eight million, seven hundred fifty-seven thousand, seventy-three".