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468298560723841 is a prime number
BaseRepresentation
bin110101001111010100100000…
…1010111000101101110000001
32021102002220102212201021000001
41222132221001113011232001
5442340100423021130331
64335553215554000001
7200432311615235401
oct15236510127055601
92242086385637001
10468298560723841
1112623a339012801
1244633494576001
131713c49859b2a3
14838dab2548801
1539217c0ca3561
hex1a9ea415c5b81

468298560723841 has 2 divisors, whose sum is σ = 468298560723842. Its totient is φ = 468298560723840.

The previous prime is 468298560723769. The next prime is 468298560723943. The reversal of 468298560723841 is 148327065892864.

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., 428907372186241 + 39391188537600 = 20710079^2 + 6276240^2 .

It is a cyclic number.

It is not a de Polignac number, because 468298560723841 - 213 = 468298560715649 is a prime.

It is not a weakly prime, because it can be changed into another prime (468298560723341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 234149280361920 + 234149280361921.

It is an arithmetic number, because the mean of its divisors is an integer number (234149280361921).

It is a 1-persistent number, because it is pandigital, but 2⋅468298560723841 = 936597121447682 is not.

Almost surely, 2468298560723841 is an apocalyptic number.

It is an amenable number.

468298560723841 is a deficient number, since it is larger than the sum of its proper divisors (1).

468298560723841 is an equidigital number, since it uses as much as digits as its factorization.

468298560723841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1114767360, while the sum is 73.

The spelling of 468298560723841 in words is "four hundred sixty-eight trillion, two hundred ninety-eight billion, five hundred sixty million, seven hundred twenty-three thousand, eight hundred forty-one".