Search a number
-
+
245406552761 is a prime number
BaseRepresentation
bin1110010010001101011…
…1101101001010111001
3212110102210201120002202
43210203113231022321
513010043034142021
6304423242035545
723505255165206
oct3444327551271
9773383646082
10245406552761
1195092668367
123b68a1a8bb5
131a1ac527386
14bc4073ccad
1565b491ca0b
hex39235ed2b9

245406552761 has 2 divisors, whose sum is σ = 245406552762. Its totient is φ = 245406552760.

The previous prime is 245406552731. The next prime is 245406552763. The reversal of 245406552761 is 167255604542.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204286824361 + 41119728400 = 451981^2 + 202780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-245406552761 is a prime.

It is a super-2 number, since 2×2454065527612 (a number of 24 digits) contains 22 as substring.

Together with 245406552763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (245406552763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 122703276380 + 122703276381.

It is an arithmetic number, because the mean of its divisors is an integer number (122703276381).

Almost surely, 2245406552761 is an apocalyptic number.

It is an amenable number.

245406552761 is a deficient number, since it is larger than the sum of its proper divisors (1).

245406552761 is an equidigital number, since it uses as much as digits as its factorization.

245406552761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016000, while the sum is 47.

The spelling of 245406552761 in words is "two hundred forty-five billion, four hundred six million, five hundred fifty-two thousand, seven hundred sixty-one".