Search a number
-
+
97509906889 is a prime number
BaseRepresentation
bin101101011010000001…
…0110001100111001001
3100022200122002111122221
41122310002301213021
53044200014010024
6112443451414041
710021246350553
oct1326402614711
9308618074587
1097509906889
113839888930a
1216a93a54321
13926c96b675
144a1046c4d3
15280a8193e4
hex16b40b19c9

97509906889 has 2 divisors, whose sum is σ = 97509906890. Its totient is φ = 97509906888.

The previous prime is 97509906833. The next prime is 97509906911. The reversal of 97509906889 is 98860990579.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66275353600 + 31234553289 = 257440^2 + 176733^2 .

It is a cyclic number.

It is not a de Polignac number, because 97509906889 - 211 = 97509904841 is a prime.

It is not a weakly prime, because it can be changed into another prime (97509906589) 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, 48754953444 + 48754953445.

It is an arithmetic number, because the mean of its divisors is an integer number (48754953445).

Almost surely, 297509906889 is an apocalyptic number.

It is an amenable number.

97509906889 is a deficient number, since it is larger than the sum of its proper divisors (1).

97509906889 is an equidigital number, since it uses as much as digits as its factorization.

97509906889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88179840, while the sum is 70.

The spelling of 97509906889 in words is "ninety-seven billion, five hundred nine million, nine hundred six thousand, eight hundred eighty-nine".