Search a number
-
+
12784373009 is a prime number
BaseRepresentation
bin10111110100000001…
…00000110100010001
31012222222001102211122
423322000200310101
5202140244414014
65512325252025
7631544243342
oct137200406421
935888042748
1012784373009
115470499731
122589564015
131289805875
14893c7a0c9
154ec55c58e
hex2fa020d11

12784373009 has 2 divisors, whose sum is σ = 12784373010. Its totient is φ = 12784373008.

The previous prime is 12784372943. The next prime is 12784373011. The reversal of 12784373009 is 90037348721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8365846225 + 4418526784 = 91465^2 + 66472^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12784373009 is a prime.

It is a Sophie Germain prime.

Together with 12784373011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12784373809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6392186504 + 6392186505.

It is an arithmetic number, because the mean of its divisors is an integer number (6392186505).

Almost surely, 212784373009 is an apocalyptic number.

It is an amenable number.

12784373009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12784373009 is an equidigital number, since it uses as much as digits as its factorization.

12784373009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 12784373009 in words is "twelve billion, seven hundred eighty-four million, three hundred seventy-three thousand, nine".