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480364460129 is a prime number
BaseRepresentation
bin1101111110101111111…
…00111111100001100001
31200220220102110221022002
412333113330333201201
530332241300211004
61004402033253345
746463610353411
oct6772774774141
91626812427262
10480364460129
111757a323a7a4
1279121104255
13363b5120028
141936d4d0641
15c766daa61e
hex6fd7f3f861

480364460129 has 2 divisors, whose sum is σ = 480364460130. Its totient is φ = 480364460128.

The previous prime is 480364460123. The next prime is 480364460159. The reversal of 480364460129 is 921064463084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 447367011025 + 32997449104 = 668855^2 + 181652^2 .

It is a cyclic number.

It is not a de Polignac number, because 480364460129 - 28 = 480364459873 is a prime.

It is not a weakly prime, because it can be changed into another prime (480364460123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240182230064 + 240182230065.

It is an arithmetic number, because the mean of its divisors is an integer number (240182230065).

Almost surely, 2480364460129 is an apocalyptic number.

It is an amenable number.

480364460129 is a deficient number, since it is larger than the sum of its proper divisors (1).

480364460129 is an equidigital number, since it uses as much as digits as its factorization.

480364460129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 995328, while the sum is 47.

The spelling of 480364460129 in words is "four hundred eighty billion, three hundred sixty-four million, four hundred sixty thousand, one hundred twenty-nine".