Search a number
-
+
464644162104761 is a prime number
BaseRepresentation
bin110100110100101110110011…
…0001110101010110110111001
32020221011112210112222202102002
41221221131212032222312321
5441400212220444323021
64324114325320550345
7166604301326423222
oct15151354616526671
92227145715882362
10464644162104761
11125060534294901
12441431999223b5
1316c359aaca28b2
1482a4c7c802249
1538ab6daad750b
hex1a697663aadb9

464644162104761 has 2 divisors, whose sum is σ = 464644162104762. Its totient is φ = 464644162104760.

The previous prime is 464644162104743. The next prime is 464644162104823. The reversal of 464644162104761 is 167401261446464.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 456546295899136 + 8097866205625 = 21366944^2 + 2845675^2 .

It is a cyclic number.

It is not a de Polignac number, because 464644162104761 - 226 = 464644094995897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 464644162104697 and 464644162104706.

It is not a weakly prime, because it can be changed into another prime (464644162104961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232322081052380 + 232322081052381.

It is an arithmetic number, because the mean of its divisors is an integer number (232322081052381).

Almost surely, 2464644162104761 is an apocalyptic number.

It is an amenable number.

464644162104761 is a deficient number, since it is larger than the sum of its proper divisors (1).

464644162104761 is an equidigital number, since it uses as much as digits as its factorization.

464644162104761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18579456, while the sum is 56.

The spelling of 464644162104761 in words is "four hundred sixty-four trillion, six hundred forty-four billion, one hundred sixty-two million, one hundred four thousand, seven hundred sixty-one".