Search a number
-
+
12786145949 is a prime number
BaseRepresentation
bin10111110100001110…
…10001101010011101
31020000002101111212002
423322013101222131
5202141223132244
65512431252045
7631565306303
oct137207215235
936002344762
1012786145949
11547149a775
12258a07a025
131289ca6845
148941bc273
154ec7aca4e
hex2fa1d1a9d

12786145949 has 2 divisors, whose sum is σ = 12786145950. Its totient is φ = 12786145948.

The previous prime is 12786145943. The next prime is 12786145991. The reversal of 12786145949 is 94954168721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11552380324 + 1233765625 = 107482^2 + 35125^2 .

It is a cyclic number.

It is not a de Polignac number, because 12786145949 - 220 = 12785097373 is a prime.

It is a super-2 number, since 2×127861459492 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12786145894 and 12786145903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12786145943) 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, 6393072974 + 6393072975.

It is an arithmetic number, because the mean of its divisors is an integer number (6393072975).

Almost surely, 212786145949 is an apocalyptic number.

It is an amenable number.

12786145949 is a deficient number, since it is larger than the sum of its proper divisors (1).

12786145949 is an equidigital number, since it uses as much as digits as its factorization.

12786145949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4354560, while the sum is 56.

The spelling of 12786145949 in words is "twelve billion, seven hundred eighty-six million, one hundred forty-five thousand, nine hundred forty-nine".