Search a number
-
+
12008683583959 is a prime number
BaseRepresentation
bin1010111010111111110101…
…0100011011100111010111
31120112000111210202212121011
42232233331110123213113
53033222240444141314
641312414005233051
72346412242162556
oct256577524334727
946460453685534
1012008683583959
11390a9438a9a77
12141b443a02787
1369154c74504a
142d731ad89d9d
1515c5904494c4
hexaebfd51b9d7

12008683583959 has 2 divisors, whose sum is σ = 12008683583960. Its totient is φ = 12008683583958.

The previous prime is 12008683583921. The next prime is 12008683583987. The reversal of 12008683583959 is 95938538680021.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12008683583959 - 223 = 12008675195351 is a prime.

It is a super-2 number, since 2×120086835839592 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12008683583894 and 12008683583903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12008683583059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6004341791979 + 6004341791980.

It is an arithmetic number, because the mean of its divisors is an integer number (6004341791980).

Almost surely, 212008683583959 is an apocalyptic number.

12008683583959 is a deficient number, since it is larger than the sum of its proper divisors (1).

12008683583959 is an equidigital number, since it uses as much as digits as its factorization.

12008683583959 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 111974400, while the sum is 67.

The spelling of 12008683583959 in words is "twelve trillion, eight billion, six hundred eighty-three million, five hundred eighty-three thousand, nine hundred fifty-nine".