Search a number
-
+
428342772857 is a prime number
BaseRepresentation
bin1100011101110110011…
…10000000010001111001
31111221121221111102002212
412032323032000101321
524004221222212412
6524440012104505
742642506331566
oct6167316002171
91457557442085
10428342772857
1115572836811a
126b023165135
133151458185c
1416a3649b86d
15b21ecbc222
hex63bb380479

428342772857 has 2 divisors, whose sum is σ = 428342772858. Its totient is φ = 428342772856.

The previous prime is 428342772833. The next prime is 428342772859. The reversal of 428342772857 is 758277243824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 428192244496 + 150528361 = 654364^2 + 12269^2 .

It is a cyclic number.

It is not a de Polignac number, because 428342772857 - 214 = 428342756473 is a prime.

Together with 428342772859, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 428342772796 and 428342772805.

It is not a weakly prime, because it can be changed into another prime (428342772859) 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, 214171386428 + 214171386429.

It is an arithmetic number, because the mean of its divisors is an integer number (214171386429).

Almost surely, 2428342772857 is an apocalyptic number.

It is an amenable number.

428342772857 is a deficient number, since it is larger than the sum of its proper divisors (1).

428342772857 is an equidigital number, since it uses as much as digits as its factorization.

428342772857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42147840, while the sum is 59.

The spelling of 428342772857 in words is "four hundred twenty-eight billion, three hundred forty-two million, seven hundred seventy-two thousand, eight hundred fifty-seven".