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480784365569 is a prime number
BaseRepresentation
bin1101111111100001111…
…10110011100000000001
31200221222200121100021102
412333300332303200001
530334121244144234
61004511433304145
746510166451464
oct6776076634001
91627880540242
10480784365569
11175999270992
1279219865055
13364511109a1
14193ad1972db
15c78dba1c7e
hex6ff0fb3801

480784365569 has 2 divisors, whose sum is σ = 480784365570. Its totient is φ = 480784365568.

The previous prime is 480784365557. The next prime is 480784365577. The reversal of 480784365569 is 965563487084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 383136240400 + 97648125169 = 618980^2 + 312487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-480784365569 is a prime.

It is a super-3 number, since 3×4807843655693 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (480784365169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240392182784 + 240392182785.

It is an arithmetic number, because the mean of its divisors is an integer number (240392182785).

Almost surely, 2480784365569 is an apocalyptic number.

It is an amenable number.

480784365569 is a deficient number, since it is larger than the sum of its proper divisors (1).

480784365569 is an equidigital number, since it uses as much as digits as its factorization.

480784365569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 174182400, while the sum is 65.

The spelling of 480784365569 in words is "four hundred eighty billion, seven hundred eighty-four million, three hundred sixty-five thousand, five hundred sixty-nine".