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282666608896 = 28724721012
BaseRepresentation
bin1000001110100000011…
…11100010100100000000
31000000121112002112012211
410013100033202210000
514112400122441041
6333504422231504
726264512350400
oct4072017424400
91000545075184
10282666608896
11a9972a27a91
1246948585594
1320869a49079
14d97707a800
157545ace481
hex41d03e2900

282666608896 has 243 divisors, whose sum is σ = 677315500617. Its totient is φ = 117391411200.

The previous prime is 282666608893. The next prime is 282666608947. The reversal of 282666608896 is 698806666282.

The square root of 282666608896 is 531664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 271582730496 + 11083878400 = 521136^2 + 105280^2 .

It is not an unprimeable number, because it can be changed into a prime (282666608891) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2798679246 + ... + 2798679346.

Almost surely, 2282666608896 is an apocalyptic number.

282666608896 is the 531664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282666608896

282666608896 is an abundant number, since it is smaller than the sum of its proper divisors (394648891721).

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

282666608896 is an frugal number, since it uses more digits than its factorization.

282666608896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 67.

The spelling of 282666608896 in words is "two hundred eighty-two billion, six hundred sixty-six million, six hundred eight thousand, eight hundred ninety-six".