Search a number
-
+
291638910617 is a prime number
BaseRepresentation
bin1000011111001110000…
…10001001111010011001
31000212202211001200022222
410033213002021322121
514234234030114432
6341551013553425
730033040560425
oct4174702117231
91025684050288
10291638910617
1110275762007a
1248631345875
132166984bc42
1410188921b85
1578bd639112
hex43e7089e99

291638910617 has 2 divisors, whose sum is σ = 291638910618. Its totient is φ = 291638910616.

The previous prime is 291638910551. The next prime is 291638910653. The reversal of 291638910617 is 716019836192.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278640402496 + 12998508121 = 527864^2 + 114011^2 .

It is a cyclic number.

It is not a de Polignac number, because 291638910617 - 230 = 290565168793 is a prime.

It is not a weakly prime, because it can be changed into another prime (291638910217) 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, 145819455308 + 145819455309.

It is an arithmetic number, because the mean of its divisors is an integer number (145819455309).

Almost surely, 2291638910617 is an apocalyptic number.

It is an amenable number.

291638910617 is a deficient number, since it is larger than the sum of its proper divisors (1).

291638910617 is an equidigital number, since it uses as much as digits as its factorization.

291638910617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 979776, while the sum is 53.

The spelling of 291638910617 in words is "two hundred ninety-one billion, six hundred thirty-eight million, nine hundred ten thousand, six hundred seventeen".