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82026618020 = 22541109917729
BaseRepresentation
bin100110001100100101…
…0101101110010100100
321211201120112221021122
41030121022231302210
52320442303234040
6101403231033112
75632460514644
oct1143112556244
9254646487248
1082026618020
1131872984206
1213a9266b798
137972c6b989
143d81da2524
15220138d1b5
hex13192adca4

82026618020 has 48 divisors (see below), whose sum is σ = 178076329200. Its totient is φ = 31716679680.

The previous prime is 82026618019. The next prime is 82026618041. The reversal of 82026618020 is 2081662028.

It can be written as a sum of positive squares in 8 ways, for example, as 14979801664 + 67046816356 = 122392^2 + 258934^2 .

It is an unprimeable number.

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, 369485 + ... + 548244.

It is an arithmetic number, because the mean of its divisors is an integer number (3709923525).

Almost surely, 282026618020 is an apocalyptic number.

It is an amenable number.

82026618020 is an abundant number, since it is smaller than the sum of its proper divisors (96049711180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82026618020 is a wasteful number, since it uses less digits than its factorization.

82026618020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917888 (or 917886 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 82026618020 in words is "eighty-two billion, twenty-six million, six hundred eighteen thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 109 164 205 218 410 436 545 820 1090 2180 4469 8938 17876 22345 44690 89380 917729 1835458 3670916 4588645 9177290 18354580 37626889 75253778 100032461 150507556 188134445 200064922 376268890 400129844 500162305 752537780 1000324610 2000649220 4101330901 8202661802 16405323604 20506654505 41013309010 82026618020