Search a number
-
+
416464796161 is a prime number
BaseRepresentation
bin1100000111101110011…
…11000111101000000001
31110210222010222200021001
412003313033013220001
523310404441434121
6515153221532001
742042246234121
oct6036717075001
91423863880231
10416464796161
1115069257a457
1268869274001
13303707a1b8b
141622ab64c81
15ac77101991
hex60f73c7a01

416464796161 has 2 divisors, whose sum is σ = 416464796162. Its totient is φ = 416464796160.

The previous prime is 416464796147. The next prime is 416464796177. The reversal of 416464796161 is 161697464614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 359496176400 + 56968619761 = 599580^2 + 238681^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-416464796161 is a prime.

It is not a weakly prime, because it can be changed into another prime (416464799161) 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, 208232398080 + 208232398081.

It is an arithmetic number, because the mean of its divisors is an integer number (208232398081).

Almost surely, 2416464796161 is an apocalyptic number.

It is an amenable number.

416464796161 is a deficient number, since it is larger than the sum of its proper divisors (1).

416464796161 is an equidigital number, since it uses as much as digits as its factorization.

416464796161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5225472, while the sum is 55.

The spelling of 416464796161 in words is "four hundred sixteen billion, four hundred sixty-four million, seven hundred ninety-six thousand, one hundred sixty-one".