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480719559936029 is a prime number
BaseRepresentation
bin110110101001101100011111…
…0100110110100100000011101
32100001002100012200002020110212
41231103120332212310200131
51001002102124320423104
64422223303410142205
7203153561555436041
oct15523307646644035
92301070180066425
10480719559936029
1112a199025283917
1245aba807b81965
1317830876cc653b
14869cd45196021
153a89943e1136e
hex1b5363e9b481d

480719559936029 has 2 divisors, whose sum is σ = 480719559936030. Its totient is φ = 480719559936028.

The previous prime is 480719559935999. The next prime is 480719559936101. The reversal of 480719559936029 is 920639955917084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313704387736804 + 167015172199225 = 17711702^2 + 12923435^2 .

It is a cyclic number.

It is not a de Polignac number, because 480719559936029 - 28 = 480719559935773 is a prime.

It is a super-3 number, since 3×4807195599360293 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480719559933029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240359779968014 + 240359779968015.

It is an arithmetic number, because the mean of its divisors is an integer number (240359779968015).

It is a 2-persistent number, because it is pandigital, and so is 2⋅480719559936029 = 961439119872058, but 3⋅480719559936029 = 1442158679808087 is not.

Almost surely, 2480719559936029 is an apocalyptic number.

It is an amenable number.

480719559936029 is a deficient number, since it is larger than the sum of its proper divisors (1).

480719559936029 is an equidigital number, since it uses as much as digits as its factorization.

480719559936029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1322697600, while the sum is 77.

The spelling of 480719559936029 in words is "four hundred eighty trillion, seven hundred nineteen billion, five hundred fifty-nine million, nine hundred thirty-six thousand, twenty-nine".