Search a number
-
+
12076817749 is a prime number
BaseRepresentation
bin10110011111101010…
…11001110101010101
31011011122122220111021
423033311121311111
5144213131131444
65314212041141
7605163154123
oct131765316525
934148586437
1012076817749
115138059a17
1224106031b1
1311a604c609
14827cd6913
154aa396584
hex2cfd59d55

12076817749 has 2 divisors, whose sum is σ = 12076817750. Its totient is φ = 12076817748.

The previous prime is 12076817741. The next prime is 12076817773. The reversal of 12076817749 is 94771867021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10420734724 + 1656083025 = 102082^2 + 40695^2 .

It is a cyclic number.

It is not a de Polignac number, because 12076817749 - 23 = 12076817741 is a prime.

It is a super-3 number, since 3×120768177493 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12076817696 and 12076817705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12076817741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6038408874 + 6038408875.

It is an arithmetic number, because the mean of its divisors is an integer number (6038408875).

Almost surely, 212076817749 is an apocalyptic number.

It is an amenable number.

12076817749 is a deficient number, since it is larger than the sum of its proper divisors (1).

12076817749 is an equidigital number, since it uses as much as digits as its factorization.

12076817749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1185408, while the sum is 52.

The spelling of 12076817749 in words is "twelve billion, seventy-six million, eight hundred seventeen thousand, seven hundred forty-nine".