Search a number
-
+
248458741409 is a prime number
BaseRepresentation
bin1110011101100101001…
…0111000011010100001
3212202022111221210210202
43213121102320122201
513032320414211114
6310050153034545
723644016312324
oct3473122703241
9782274853722
10248458741409
119640953391a
12401a03b5a55
131a577982268
14c04dc4c7bb
1566e286ecde
hex39d94b86a1

248458741409 has 2 divisors, whose sum is σ = 248458741410. Its totient is φ = 248458741408.

The previous prime is 248458741373. The next prime is 248458741463. The reversal of 248458741409 is 904147854842.

248458741409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242118123025 + 6340618384 = 492055^2 + 79628^2 .

It is a cyclic number.

It is not a de Polignac number, because 248458741409 - 216 = 248458675873 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (248458741709) 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, 124229370704 + 124229370705.

It is an arithmetic number, because the mean of its divisors is an integer number (124229370705).

Almost surely, 2248458741409 is an apocalyptic number.

It is an amenable number.

248458741409 is a deficient number, since it is larger than the sum of its proper divisors (1).

248458741409 is an equidigital number, since it uses as much as digits as its factorization.

248458741409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 248458741409 in words is "two hundred forty-eight billion, four hundred fifty-eight million, seven hundred forty-one thousand, four hundred nine".