Search a number
-
+
6637842401 is a prime number
BaseRepresentation
bin1100010111010010…
…10110111111100001
3122010121021022221212
412023221112333201
5102043241424101
63014355555505
7323330505131
oct61351267741
918117238855
106637842401
1128a6986273
121352bbbb95
1381a2840c8
1446d806ac1
1528cb2d1bb
hex18ba56fe1

6637842401 has 2 divisors, whose sum is σ = 6637842402. Its totient is φ = 6637842400.

The previous prime is 6637842397. The next prime is 6637842467. The reversal of 6637842401 is 1042487366.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6474616225 + 163226176 = 80465^2 + 12776^2 .

It is a cyclic number.

It is not a de Polignac number, because 6637842401 - 22 = 6637842397 is a prime.

It is not a weakly prime, because it can be changed into another prime (6637842301) 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, 3318921200 + 3318921201.

It is an arithmetic number, because the mean of its divisors is an integer number (3318921201).

Almost surely, 26637842401 is an apocalyptic number.

It is an amenable number.

6637842401 is a deficient number, since it is larger than the sum of its proper divisors (1).

6637842401 is an equidigital number, since it uses as much as digits as its factorization.

6637842401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 6637842401 is about 81472.9550280337. The cubic root of 6637842401 is about 1879.3556718511.

The spelling of 6637842401 in words is "six billion, six hundred thirty-seven million, eight hundred forty-two thousand, four hundred one".