Search a number
-
+
1712646542017 is a prime number
BaseRepresentation
bin11000111011000001101…
…100000101001011000001
320001201122021121201111001
4120323001230011023001
5211030000003321032
63350440131052001
7234506656261315
oct30730154051301
96051567551431
101712646542017
11600369362804
12237b09a41001
13c566a810328
145cc6d189b45
152e83ac023e7
hex18ec1b052c1

1712646542017 has 2 divisors, whose sum is σ = 1712646542018. Its totient is φ = 1712646542016.

The previous prime is 1712646542011. The next prime is 1712646542041. The reversal of 1712646542017 is 7102456462171.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1293414896656 + 419231645361 = 1137284^2 + 647481^2 .

It is a cyclic number.

It is not a de Polignac number, because 1712646542017 - 27 = 1712646541889 is a prime.

It is not a weakly prime, because it can be changed into another prime (1712646542011) 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, 856323271008 + 856323271009.

It is an arithmetic number, because the mean of its divisors is an integer number (856323271009).

Almost surely, 21712646542017 is an apocalyptic number.

It is an amenable number.

1712646542017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1712646542017 is an equidigital number, since it uses as much as digits as its factorization.

1712646542017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 46.

It can be divided in two parts, 171264 and 6542017, that added together give a square (6713281 = 25912).

The spelling of 1712646542017 in words is "one trillion, seven hundred twelve billion, six hundred forty-six million, five hundred forty-two thousand, seventeen".