Search a number
-
+
17020036993 is a prime number
BaseRepresentation
bin11111101100111100…
…10010011110000001
31121221011012110111111
433312132102132001
5234324112140433
611452514243321
71141525633051
oct176636223601
947834173444
1017020036993
117244404783
12336bb86541
1317b31ba60b
14b76617561
15699333dcd
hex3f6792781

17020036993 has 2 divisors, whose sum is σ = 17020036994. Its totient is φ = 17020036992.

The previous prime is 17020036991. The next prime is 17020037011. The reversal of 17020036993 is 39963002071.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8839196289 + 8180840704 = 94017^2 + 90448^2 .

It is a cyclic number.

It is not a de Polignac number, because 17020036993 - 21 = 17020036991 is a prime.

Together with 17020036991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (17020036991) 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, 8510018496 + 8510018497.

It is an arithmetic number, because the mean of its divisors is an integer number (8510018497).

Almost surely, 217020036993 is an apocalyptic number.

It is an amenable number.

17020036993 is a deficient number, since it is larger than the sum of its proper divisors (1).

17020036993 is an equidigital number, since it uses as much as digits as its factorization.

17020036993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 40.

The spelling of 17020036993 in words is "seventeen billion, twenty million, thirty-six thousand, nine hundred ninety-three".