Search a number
-
+
45996191847857 is a prime number
BaseRepresentation
bin10100111010101010100101…
…01011010001010110110001
320000212012012200202101112202
422131111102223101112301
522012100200103112412
6241454205301232545
712455054340563426
oct1235252253212661
9200765180671482
1045996191847857
111372396a1a8449
1251aa453702755
131c885649976a4
14b50328613d4d
1554b6ee6c83c2
hex29d552ad15b1

45996191847857 has 2 divisors, whose sum is σ = 45996191847858. Its totient is φ = 45996191847856.

The previous prime is 45996191847731. The next prime is 45996191847871. The reversal of 45996191847857 is 75874819169954.

45996191847857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27737244091456 + 18258947756401 = 5266616^2 + 4273049^2 .

It is a cyclic number.

It is not a de Polignac number, because 45996191847857 - 218 = 45996191585713 is a prime.

It is not a weakly prime, because it can be changed into another prime (45996191847157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22998095923928 + 22998095923929.

It is an arithmetic number, because the mean of its divisors is an integer number (22998095923929).

Almost surely, 245996191847857 is an apocalyptic number.

It is an amenable number.

45996191847857 is a deficient number, since it is larger than the sum of its proper divisors (1).

45996191847857 is an equidigital number, since it uses as much as digits as its factorization.

45996191847857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5486745600, while the sum is 83.

The spelling of 45996191847857 in words is "forty-five trillion, nine hundred ninety-six billion, one hundred ninety-one million, eight hundred forty-seven thousand, eight hundred fifty-seven".