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282868198104 = 233314182711213
BaseRepresentation
bin1000001110111000100…
…00100010101011011000
31000001010120102022121210
410013130100202223120
514113303224314404
6333540423103120
726302511004132
oct4073420425330
91001116368553
10282868198104
11a9a667a5a38
12469a3ba1aa0
132089c73b81b
14d995b54052
15755864e689
hex41dc422ad8

282868198104 has 128 divisors (see below), whose sum is σ = 748757882880. Its totient is φ = 88906675200.

The previous prime is 282868198103. The next prime is 282868198133. The reversal of 282868198104 is 401891868282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282868198103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25221202 + ... + 25232414.

It is an arithmetic number, because the mean of its divisors is an integer number (5849670960).

Almost surely, 2282868198104 is an apocalyptic number.

282868198104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282868198104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374378941440).

282868198104 is an abundant number, since it is smaller than the sum of its proper divisors (465889684776).

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

282868198104 is a wasteful number, since it uses less digits than its factorization.

282868198104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12121 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 57.

The spelling of 282868198104 in words is "two hundred eighty-two billion, eight hundred sixty-eight million, one hundred ninety-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 328 372 492 744 827 984 1271 1654 2481 2542 3308 3813 4962 5084 6616 7626 9924 10168 11213 15252 19848 22426 25637 30504 33639 33907 44852 51274 67278 67814 76911 89704 101721 102548 134556 135628 153822 203442 205096 269112 271256 307644 347603 406884 459733 615288 695206 813768 919466 1042809 1051117 1379199 1390412 1838932 2085618 2102234 2758398 2780824 3153351 3677864 4171236 4204468 5516796 6306702 8342472 8408936 9273151 11033592 12613404 14251723 18546302 25226808 27819453 28503446 37092604 42755169 55638906 57006892 74185208 85510338 111277812 114013784 171020676 222555624 287467681 342041352 380199191 574935362 760398382 862403043 1140597573 1149870724 1520796764 1724806086 2281195146 2299741448 3041593528 3449612172 4562390292 6899224344 9124780584 11786174921 23572349842 35358524763 47144699684 70717049526 94289399368 141434099052 282868198104