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2008022840641 is a prime number
BaseRepresentation
bin11101001110000111011…
…111001111010101000001
321002222001120020101100001
4131032013133033111001
5230344412321400031
64134250054200001
7265034451345016
oct35160737172501
97088046211301
102008022840641
117046635a97a4
12285202953001
1311748174385c
146d2901c170d
15373774da861
hex1d3877cf541

2008022840641 has 2 divisors, whose sum is σ = 2008022840642. Its totient is φ = 2008022840640.

The previous prime is 2008022840627. The next prime is 2008022840683. The reversal of 2008022840641 is 1460482208002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1625635200016 + 382387640625 = 1275004^2 + 618375^2 .

It is a cyclic number.

It is not a de Polignac number, because 2008022840641 - 25 = 2008022840609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2008022840641.

It is not a weakly prime, because it can be changed into another prime (2008022840611) 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, 1004011420320 + 1004011420321.

It is an arithmetic number, because the mean of its divisors is an integer number (1004011420321).

Almost surely, 22008022840641 is an apocalyptic number.

It is an amenable number.

2008022840641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2008022840641 is an equidigital number, since it uses as much as digits as its factorization.

2008022840641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 2008022840641 in words is "two trillion, eight billion, twenty-two million, eight hundred forty thousand, six hundred forty-one".