Search a number
-
+
166805905297 is a prime number
BaseRepresentation
bin1001101101011001101…
…0000001111110010001
3120221112222201221220111
42123112122001332101
510213104302432142
6204343553241321
715023414541463
oct2332632017621
9527488657814
10166805905297
1164818648589
12283b2b63241
13129642a5415
148105788133
154514216e17
hex26d6681f91

166805905297 has 2 divisors, whose sum is σ = 166805905298. Its totient is φ = 166805905296.

The previous prime is 166805905289. The next prime is 166805905319. The reversal of 166805905297 is 792509508661.

166805905297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166628056401 + 177848896 = 408201^2 + 13336^2 .

It is a cyclic number.

It is not a de Polignac number, because 166805905297 - 23 = 166805905289 is a prime.

It is not a weakly prime, because it can be changed into another prime (166805905267) 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, 83402952648 + 83402952649.

It is an arithmetic number, because the mean of its divisors is an integer number (83402952649).

Almost surely, 2166805905297 is an apocalyptic number.

It is an amenable number.

166805905297 is a deficient number, since it is larger than the sum of its proper divisors (1).

166805905297 is an equidigital number, since it uses as much as digits as its factorization.

166805905297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 166805905297 in words is "one hundred sixty-six billion, eight hundred five million, nine hundred five thousand, two hundred ninety-seven".