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6800201405 = 528111934057
BaseRepresentation
bin1100101010101001…
…01101011010111101
3122112220210000122022
412111110231122331
5102411322421110
63042435525525
7330341521034
oct62524553275
918486700568
106800201405
11297a599a68
1213994598a5
13844abc51a
144871cb71b
1529beee755
hex19552d6bd

6800201405 has 16 divisors (see below), whose sum is σ = 8198166384. Its totient is φ = 5414922240.

The previous prime is 6800201389. The next prime is 6800201407. The reversal of 6800201405 is 5041020086.

It can be written as a sum of positive squares in 8 ways, for example, as 6980164 + 6793221241 = 2642^2 + 82421^2 .

It is not a de Polignac number, because 6800201405 - 24 = 6800201389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6800201407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1674137 + ... + 1678193.

It is an arithmetic number, because the mean of its divisors is an integer number (512385399).

Almost surely, 26800201405 is an apocalyptic number.

It is an amenable number.

6800201405 is a deficient number, since it is larger than the sum of its proper divisors (1397964979).

6800201405 is a wasteful number, since it uses less digits than its factorization.

6800201405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 6800201405 is about 82463.3337004999. Note that the first 3 decimals coincide. The cubic root of 6800201405 is about 1894.5551785557. Note that the first 3 decimals are identical.

It can be divided in two parts, 680020 and 1405, that multiplied together give a square (955428100 = 309102).

The spelling of 6800201405 in words is "six billion, eight hundred million, two hundred one thousand, four hundred five".

Divisors: 1 5 281 1193 1405 4057 5965 20285 335233 1140017 1676165 4840001 5700085 24200005 1360040281 6800201405