Search a number
-
+
248643634849 is a prime number
BaseRepresentation
bin1110011110010001010…
…0001100011010100001
3212202210101212100220221
43213210110030122201
513033210232303344
6310120400003041
723651423011261
oct3474424143241
9782711770827
10248643634849
11964a3939015
1240232300481
131a5a707a56c
14c06a61b7a1
156703be3184
hex39e450c6a1

248643634849 has 2 divisors, whose sum is σ = 248643634850. Its totient is φ = 248643634848.

The previous prime is 248643634801. The next prime is 248643634901. The reversal of 248643634849 is 948436346842.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242292341824 + 6351293025 = 492232^2 + 79695^2 .

It is a cyclic number.

It is not a de Polignac number, because 248643634849 - 213 = 248643626657 is a prime.

It is not a weakly prime, because it can be changed into another prime (248643634949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124321817424 + 124321817425.

It is an arithmetic number, because the mean of its divisors is an integer number (124321817425).

Almost surely, 2248643634849 is an apocalyptic number.

It is an amenable number.

248643634849 is a deficient number, since it is larger than the sum of its proper divisors (1).

248643634849 is an equidigital number, since it uses as much as digits as its factorization.

248643634849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 95551488, while the sum is 61.

The spelling of 248643634849 in words is "two hundred forty-eight billion, six hundred forty-three million, six hundred thirty-four thousand, eight hundred forty-nine".