Search a number
-
+
246308087593 is a prime number
BaseRepresentation
bin1110010101100100011…
…0110010011100101001
3212112202122010021101201
43211121012302130221
513013414332300333
6305052525044201
723536513125511
oct3453106623451
9775678107351
10246308087593
1195505548877
123b8a00b6661
131a2c423a539
14bcc8378841
156618b4e17d
hex39591b2729

246308087593 has 2 divisors, whose sum is σ = 246308087594. Its totient is φ = 246308087592.

The previous prime is 246308087539. The next prime is 246308087639. The reversal of 246308087593 is 395780803642.

246308087593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (246308087539) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201216839184 + 45091248409 = 448572^2 + 212347^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-246308087593 is a prime.

It is not a weakly prime, because it can be changed into another prime (246308087093) 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, 123154043796 + 123154043797.

It is an arithmetic number, because the mean of its divisors is an integer number (123154043797).

Almost surely, 2246308087593 is an apocalyptic number.

It is an amenable number.

246308087593 is a deficient number, since it is larger than the sum of its proper divisors (1).

246308087593 is an equidigital number, since it uses as much as digits as its factorization.

246308087593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 246308087593 in words is "two hundred forty-six billion, three hundred eight million, eighty-seven thousand, five hundred ninety-three".