Search a number
-
+
464644162104961 is a prime number
BaseRepresentation
bin110100110100101110110011…
…0001110101010111010000001
32020221011112210112222202200111
41221221131212032222322001
5441400212220444324321
64324114325320551321
7166604301326423626
oct15151354616527201
92227145715882614
10464644162104961
11125060534294a73
1244143199922541
1316c359aaca2a07
1482a4c7c80234d
1538ab6daad75e1
hex1a697663aae81

464644162104961 has 2 divisors, whose sum is σ = 464644162104962. Its totient is φ = 464644162104960.

The previous prime is 464644162104949. The next prime is 464644162105033. The reversal of 464644162104961 is 169401261446464.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 462090698727025 + 2553463377936 = 21496295^2 + 1597956^2 .

It is a cyclic number.

It is not a de Polignac number, because 464644162104961 - 29 = 464644162104449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 464644162104896 and 464644162104905.

It is not a weakly prime, because it can be changed into another prime (464644162104761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232322081052480 + 232322081052481.

It is an arithmetic number, because the mean of its divisors is an integer number (232322081052481).

Almost surely, 2464644162104961 is an apocalyptic number.

It is an amenable number.

464644162104961 is a deficient number, since it is larger than the sum of its proper divisors (1).

464644162104961 is an equidigital number, since it uses as much as digits as its factorization.

464644162104961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23887872, while the sum is 58.

The spelling of 464644162104961 in words is "four hundred sixty-four trillion, six hundred forty-four billion, one hundred sixty-two million, one hundred four thousand, nine hundred sixty-one".