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488321307295681 is a prime number
BaseRepresentation
bin110111100001000000010101…
…0000011101011111111000001
32101001000001122111212100011111
41233002000222003223333001
51003001124014131430211
64450323413414043321
7204600023135036266
oct15702005203537701
92331001574770144
10488321307295681
111316599a3504942
1246927b35949541
1317c6266a29b292
148882c3d76526d
153b6c557a89421
hex1bc202a0ebfc1

488321307295681 has 2 divisors, whose sum is σ = 488321307295682. Its totient is φ = 488321307295680.

The previous prime is 488321307295667. The next prime is 488321307295697. The reversal of 488321307295681 is 186592703123884.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 456216108134656 + 32105199161025 = 21359216^2 + 5666145^2 .

It is a cyclic number.

It is not a de Polignac number, because 488321307295681 - 215 = 488321307262913 is a prime.

It is a super-2 number, since 2×4883213072956812 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (488321307293681) 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, 244160653647840 + 244160653647841.

It is an arithmetic number, because the mean of its divisors is an integer number (244160653647841).

It is a 1-persistent number, because it is pandigital, but 2⋅488321307295681 = 976642614591362 is not.

Almost surely, 2488321307295681 is an apocalyptic number.

It is an amenable number.

488321307295681 is a deficient number, since it is larger than the sum of its proper divisors (1).

488321307295681 is an equidigital number, since it uses as much as digits as its factorization.

488321307295681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139345920, while the sum is 67.

The spelling of 488321307295681 in words is "four hundred eighty-eight trillion, three hundred twenty-one billion, three hundred seven million, two hundred ninety-five thousand, six hundred eighty-one".