Search a number
-
+
9999917466901 is a prime number
BaseRepresentation
bin1001000110000100100110…
…0001110100010100010101
31022101222112102221010200221
42101201021201310110111
52302314312332420101
633133522040034341
72051320164001105
oct221411141642425
938358472833627
109999917466901
113205a3979274a
1211560741629b1
13576cb001c17b
14267dda1a7205
151251c2a8daa1
hex91849874515

9999917466901 has 2 divisors, whose sum is σ = 9999917466902. Its totient is φ = 9999917466900.

The previous prime is 9999917466887. The next prime is 9999917466907. The reversal of 9999917466901 is 1096647199999.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9388157280100 + 611760186801 = 3064010^2 + 782151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9999917466901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9999917466907) 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, 4999958733450 + 4999958733451.

It is an arithmetic number, because the mean of its divisors is an integer number (4999958733451).

Almost surely, 29999917466901 is an apocalyptic number.

It is an amenable number.

9999917466901 is a deficient number, since it is larger than the sum of its proper divisors (1).

9999917466901 is an equidigital number, since it uses as much as digits as its factorization.

9999917466901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 535692528, while the sum is 79.

The spelling of 9999917466901 in words is "nine trillion, nine hundred ninety-nine billion, nine hundred seventeen million, four hundred sixty-six thousand, nine hundred one".