Search a number
-
+
739106442337 is a prime number
BaseRepresentation
bin10101100000101100010…
…11010100110001100001
32121122202121011111120011
422300112023110301201
544102142222123322
61323312452044521
7104253514046644
oct12602613246141
92548677144504
10739106442337
112654a935562a
12bb2b1303741
135490b370253
1427ab6d51a5b
151435c3d6677
hexac162d4c61

739106442337 has 2 divisors, whose sum is σ = 739106442338. Its totient is φ = 739106442336.

The previous prime is 739106442317. The next prime is 739106442343. The reversal of 739106442337 is 733244601937.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 604189071616 + 134917370721 = 777296^2 + 367311^2 .

It is an emirp because it is prime and its reverse (733244601937) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-739106442337 is a prime.

It is not a weakly prime, because it can be changed into another prime (739106442317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 369553221168 + 369553221169.

It is an arithmetic number, because the mean of its divisors is an integer number (369553221169).

Almost surely, 2739106442337 is an apocalyptic number.

It is an amenable number.

739106442337 is a deficient number, since it is larger than the sum of its proper divisors (1).

739106442337 is an equidigital number, since it uses as much as digits as its factorization.

739106442337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2286144, while the sum is 49.

The spelling of 739106442337 in words is "seven hundred thirty-nine billion, one hundred six million, four hundred forty-two thousand, three hundred thirty-seven".