Search a number
-
+
12806783741 is a prime number
BaseRepresentation
bin10111110110101100…
…00000001011111101
31020001112020000120202
423323112000023331
5202212014034431
65514445453245
7632235602633
oct137326001375
936045200522
1012806783741
1154821061a4
122594b71225
13129135135b
14896c31353
154ee4d78cb
hex2fb5802fd

12806783741 has 2 divisors, whose sum is σ = 12806783742. Its totient is φ = 12806783740.

The previous prime is 12806783719. The next prime is 12806783749. The reversal of 12806783741 is 14738760821.

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., 9652276516 + 3154507225 = 98246^2 + 56165^2 .

It is a cyclic number.

It is not a de Polignac number, because 12806783741 - 210 = 12806782717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12806783749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6403391870 + 6403391871.

It is an arithmetic number, because the mean of its divisors is an integer number (6403391871).

Almost surely, 212806783741 is an apocalyptic number.

It is an amenable number.

12806783741 is a deficient number, since it is larger than the sum of its proper divisors (1).

12806783741 is an equidigital number, since it uses as much as digits as its factorization.

12806783741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 12806783741 in words is "twelve billion, eight hundred six million, seven hundred eighty-three thousand, seven hundred forty-one".