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82469643841 = 13371131517297
BaseRepresentation
bin100110011001110010…
…0101110011001000001
321212212110011222110101
41030303210232121001
52322344212100331
6101515214402401
75646450256264
oct1146344563101
9255773158411
1082469643841
1131a7aa67052
1213b96b00401
137a13996130
143dc4b66cdb
15222a200061
hex133392e641

82469643841 has 16 divisors (see below), whose sum is σ = 92021089104. Its totient is φ = 73412849664.

The previous prime is 82469643829. The next prime is 82469643871. The reversal of 82469643841 is 14834696428.

It can be written as a sum of positive squares in 8 ways, for example, as 327791025 + 82141852816 = 18105^2 + 286604^2 .

It is not a de Polignac number, because 82469643841 - 29 = 82469643329 is a prime.

It is a super-2 number, since 2×824696438412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82469643871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704296 + ... + 813001.

It is an arithmetic number, because the mean of its divisors is an integer number (5751318069).

Almost surely, 282469643841 is an apocalyptic number.

It is an amenable number.

82469643841 is a deficient number, since it is larger than the sum of its proper divisors (9551445263).

82469643841 is a wasteful number, since it uses less digits than its factorization.

82469643841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517460.

The product of its digits is 7962624, while the sum is 55.

The spelling of 82469643841 in words is "eighty-two billion, four hundred sixty-nine million, six hundred forty-three thousand, eight hundred forty-one".

Divisors: 1 13 37 113 481 1469 4181 54353 1517297 19724861 56139989 171454561 729819857 2228909293 6343818757 82469643841