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6820283268 = 223426380039
BaseRepresentation
bin1100101101000010…
…10100001110000100
3122121022120021210000
412112201110032010
5102431443031033
63044434201300
7331004310531
oct62641241604
918538507700
106820283268
11298a965847
1213a4123230
13849000c96
14489b37d88
1529db69a13
hex196854384

6820283268 has 60 divisors (see below), whose sum is σ = 17897584320. Its totient is φ = 2264755248.

The previous prime is 6820283233. The next prime is 6820283273. The reversal of 6820283268 is 8623820286.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45193 + ... + 125231.

It is an arithmetic number, because the mean of its divisors is an integer number (298293072).

Almost surely, 26820283268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6820283268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8948792160).

6820283268 is an abundant number, since it is smaller than the sum of its proper divisors (11077301052).

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

6820283268 is a wasteful number, since it uses less digits than its factorization.

6820283268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80318 (or 80307 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6820283268 is about 82585.0063147058. The cubic root of 6820283268 is about 1896.4183001920.

The spelling of 6820283268 in words is "six billion, eight hundred twenty million, two hundred eighty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 263 324 526 789 1052 1578 2367 3156 4734 7101 9468 14202 21303 28404 42606 80039 85212 160078 240117 320156 480234 720351 960468 1440702 2161053 2881404 4322106 6483159 8644212 12966318 21050257 25932636 42100514 63150771 84201028 126301542 189452313 252603084 378904626 568356939 757809252 1136713878 1705070817 2273427756 3410141634 6820283268