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8457604663841 is a prime number
BaseRepresentation
bin111101100010011000010…
…0001011000101000100001
31002221112120000021220010022
41323010300201120220201
52102032133243220331
625553211524043225
71532020220324504
oct173046041305041
932845500256108
108457604663841
112770939386133
12b47182833515
134947196477b8
142134c912b13b
15ea005b5c67b
hex7b130858a21

8457604663841 has 2 divisors, whose sum is σ = 8457604663842. Its totient is φ = 8457604663840.

The previous prime is 8457604663777. The next prime is 8457604663873. The reversal of 8457604663841 is 1483664067548.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8381140800400 + 76463863441 = 2895020^2 + 276521^2 .

It is a cyclic number.

It is not a de Polignac number, because 8457604663841 - 26 = 8457604663777 is a prime.

It is a super-2 number, since 2×84576046638412 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8457604603841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4228802331920 + 4228802331921.

It is an arithmetic number, because the mean of its divisors is an integer number (4228802331921).

Almost surely, 28457604663841 is an apocalyptic number.

It is an amenable number.

8457604663841 is a deficient number, since it is larger than the sum of its proper divisors (1).

8457604663841 is an equidigital number, since it uses as much as digits as its factorization.

8457604663841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92897280, while the sum is 62.

The spelling of 8457604663841 in words is "eight trillion, four hundred fifty-seven billion, six hundred four million, six hundred sixty-three thousand, eight hundred forty-one".