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82026826225 = 5217193004297
BaseRepresentation
bin100110001100100101…
…1100000100111110001
321211201120221111212221
41030121023200213301
52320442331414400
6101403235321041
75632462342651
oct1143113404761
9254646844787
1082026826225
1131873006683
1213a92750181
137973012686
143d82018361
1522013cec1a
hex13192e09f1

82026826225 has 12 divisors (see below), whose sum is σ = 107696398284. Its totient is φ = 61761374720.

The previous prime is 82026826223. The next prime is 82026826253. The reversal of 82026826225 is 52262862028.

It can be written as a sum of positive squares in 6 ways, for example, as 6062646769 + 75964179456 = 77863^2 + 275616^2 .

It is not a de Polignac number, because 82026826225 - 21 = 82026826223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82026826223) 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 11 ways as a sum of consecutive naturals, for example, 96501724 + ... + 96502573.

It is an arithmetic number, because the mean of its divisors is an integer number (8974699857).

Almost surely, 282026826225 is an apocalyptic number.

82026826225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82026826225 is a deficient number, since it is larger than the sum of its proper divisors (25669572059).

82026826225 is a wasteful number, since it uses less digits than its factorization.

82026826225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193004324 (or 193004319 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 82026826225 in words is "eighty-two billion, twenty-six million, eight hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 425 193004297 965021485 3281073049 4825107425 16405365245 82026826225