Search a number
-
+
461777249934089 is a prime number
BaseRepresentation
bin110100011111110111110010…
…0111100101001101100001001
32020120000110210111221201002222
41220333233210330221230021
5441011224301440342324
64314041312351303425
7166160206506151265
oct15077574474515411
92216013714851088
10461777249934089
111241556a5097121
124395b63681ab75
1316a8853bca097b
1482061d11210a5
15385bd4534955e
hex1a3fbe4f29b09

461777249934089 has 2 divisors, whose sum is σ = 461777249934090. Its totient is φ = 461777249934088.

The previous prime is 461777249934083. The next prime is 461777249934151. The reversal of 461777249934089 is 980439942777164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 333113419446025 + 128663830488064 = 18251395^2 + 11343008^2 .

It is a cyclic number.

It is not a de Polignac number, because 461777249934089 - 28 = 461777249933833 is a prime.

It is not a weakly prime, because it can be changed into another prime (461777249934083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230888624967044 + 230888624967045.

It is an arithmetic number, because the mean of its divisors is an integer number (230888624967045).

Almost surely, 2461777249934089 is an apocalyptic number.

It is an amenable number.

461777249934089 is a deficient number, since it is larger than the sum of its proper divisors (1).

461777249934089 is an equidigital number, since it uses as much as digits as its factorization.

461777249934089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608866304, while the sum is 80.

Subtracting from 461777249934089 its sum of digits (80), we obtain a square (461777249934009 = 214890032).

The spelling of 461777249934089 in words is "four hundred sixty-one trillion, seven hundred seventy-seven billion, two hundred forty-nine million, nine hundred thirty-four thousand, eighty-nine".