Search a number
-
+
5238864401 is a prime number
BaseRepresentation
bin1001110000100001…
…01011101000010001
3111112002211212220212
410320100223220101
541212122130101
62223503013505
7243552420101
oct47020535021
914462755825
105238864401
112249225401
12102259a295
136564a2884
14379abd201
15209ddb1bb
hex13842ba11

5238864401 has 2 divisors, whose sum is σ = 5238864402. Its totient is φ = 5238864400.

The previous prime is 5238864317. The next prime is 5238864443. The reversal of 5238864401 is 1044688325.

It is a Cunningham number, because it is equal to 723802+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5238864400 + 1 = 72380^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5238864401 is a prime.

It is not a weakly prime, because it can be changed into another prime (5238864601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2619432200 + 2619432201.

It is an arithmetic number, because the mean of its divisors is an integer number (2619432201).

Almost surely, 25238864401 is an apocalyptic number.

It is an amenable number.

5238864401 is a deficient number, since it is larger than the sum of its proper divisors (1).

5238864401 is an equidigital number, since it uses as much as digits as its factorization.

5238864401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 5238864401 is about 72380.0000069080. Note that the first 5 decimals coincide. The cubic root of 5238864401 is about 1736.7836386882.

The spelling of 5238864401 in words is "five billion, two hundred thirty-eight million, eight hundred sixty-four thousand, four hundred one".