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460416304504813 is a prime number
BaseRepresentation
bin110100010101111110000011…
…0010001110101111111101101
32020101012100221220000122222111
41220223330012101311333231
5440321430042423123223
64311120155203444021
7165656660143653406
oct15053740621657755
92211170856018874
10460416304504813
11123780504956968
124377b920986611
13169ba0c0607b57
14819a3a76dc9ad
153836740bbe30d
hex1a2bf06475fed

460416304504813 has 2 divisors, whose sum is σ = 460416304504814. Its totient is φ = 460416304504812.

The previous prime is 460416304504733. The next prime is 460416304504817. The reversal of 460416304504813 is 318405403614064.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 459519802306569 + 896502198244 = 21436413^2 + 946838^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-460416304504813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (460416304504817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230208152252406 + 230208152252407.

It is an arithmetic number, because the mean of its divisors is an integer number (230208152252407).

Almost surely, 2460416304504813 is an apocalyptic number.

It is an amenable number.

460416304504813 is a deficient number, since it is larger than the sum of its proper divisors (1).

460416304504813 is an equidigital number, since it uses as much as digits as its factorization.

460416304504813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 460416304504813 in words is "four hundred sixty trillion, four hundred sixteen billion, three hundred four million, five hundred four thousand, eight hundred thirteen".