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480813348996089 is a prime number
BaseRepresentation
bin110110101010011000001010…
…0110111101100001111111001
32100001102022021222202010211222
41231110300110313230033321
51001010121214320333324
64422334334143201425
7203163422004335654
oct15524602467541771
92301368258663758
10480813348996089
1112a2248838038aa
1245b14a218a6275
1317839672b22595
1486a36c13b889b
153a8c0d2c4755e
hex1b54c14dec3f9

480813348996089 has 2 divisors, whose sum is σ = 480813348996090. Its totient is φ = 480813348996088.

The previous prime is 480813348996041. The next prime is 480813348996091. The reversal of 480813348996089 is 980699843318084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303802564384489 + 177010784611600 = 17429933^2 + 13304540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-480813348996089 is a prime.

It is a super-3 number, since 3×4808133489960893 (a number of 45 digits) contains 333 as substring.

Together with 480813348996091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (480813348996389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240406674498044 + 240406674498045.

It is an arithmetic number, because the mean of its divisors is an integer number (240406674498045).

Almost surely, 2480813348996089 is an apocalyptic number.

It is an amenable number.

480813348996089 is a deficient number, since it is larger than the sum of its proper divisors (1).

480813348996089 is an equidigital number, since it uses as much as digits as its factorization.

480813348996089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2579890176, while the sum is 80.

The spelling of 480813348996089 in words is "four hundred eighty trillion, eight hundred thirteen billion, three hundred forty-eight million, nine hundred ninety-six thousand, eighty-nine".