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282868198132 = 221337622123633
BaseRepresentation
bin1000001110111000100…
…00100010101011110100
31000001010120102022122211
410013130100202223310
514113303224320012
6333540423103204
726302511004202
oct4073420425364
91001116368584
10282868198132
11a9a667a5a63
12469a3ba1b04
132089c73b840
14d995b54072
15755864e6a7
hex41dc422af4

282868198132 has 48 divisors (see below), whose sum is σ = 547616985552. Its totient is φ = 127000258560.

The previous prime is 282868198103. The next prime is 282868198133. The reversal of 282868198132 is 231891868282.

It can be written as a sum of positive squares in 8 ways, for example, as 103754596 + 282764443536 = 10186^2 + 531756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282868198133) 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 15 ways as a sum of consecutive naturals, for example, 11957388 + ... + 11981020.

It is an arithmetic number, because the mean of its divisors is an integer number (11408687199).

Almost surely, 2282868198132 is an apocalyptic number.

It is an amenable number.

282868198132 is a deficient number, since it is larger than the sum of its proper divisors (264748787420).

282868198132 is a wasteful number, since it uses less digits than its factorization.

282868198132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29908 (or 29906 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 58.

The spelling of 282868198132 in words is "two hundred eighty-two billion, eight hundred sixty-eight million, one hundred ninety-eight thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 37 52 74 148 481 962 1924 6221 12442 23633 24884 47266 80873 94532 161746 230177 307229 323492 460354 614458 874421 920708 1228916 1748842 2992301 3497684 5984602 11367473 11969204 22734946 45469892 147020893 294041786 588083572 1911271609 3822543218 5439773041 7645086436 10879546082 21759092164 70717049533 141434099066 282868198132