Search a number
-
+
284235060769 = 11217228512
BaseRepresentation
bin1000010001011011011…
…10101101011000100001
31000011122211102010200221
410020231232231120201
514124103133421034
6334324211443041
726351416103362
oct4105556553041
91004584363627
10284235060769
11aa5a8311100
12471058b6481
1320a599872ba
14da854bbb69
1575d864abb4
hex422dbad621

284235060769 has 27 divisors (see below), whose sum is σ = 331999025043. Its totient is φ = 243110472000.

The previous prime is 284235060751. The next prime is 284235060773. The reversal of 284235060769 is 967060532482.

The square root of 284235060769 is 533137.

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., 221290272225 + 62944788544 = 470415^2 + 250888^2 .

It is a de Polignac number, because none of the positive numbers 2k-284235060769 is a prime.

It is a super-2 number, since 2×2842350607692 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284235060709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99695194 + ... + 99698044.

Almost surely, 2284235060769 is an apocalyptic number.

284235060769 is the 533137-th square number.

284235060769 is the 266569-th centered octagonal number.

It is an amenable number.

284235060769 is a deficient number, since it is larger than the sum of its proper divisors (47763964274).

284235060769 is an frugal number, since it uses more digits than its factorization.

284235060769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 284235060769 in words is "two hundred eighty-four billion, two hundred thirty-five million, sixty thousand, seven hundred sixty-nine".

Divisors: 1 11 17 121 187 289 2057 2851 3179 31361 34969 48467 344971 533137 823939 5864507 8128201 9063329 89410211 99696619 138179417 983512321 1519973587 2349050089 16719709457 25839550979 284235060769