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282000010005 = 3457218178509
BaseRepresentation
bin1000001101010001000…
…00101010101100010101
3222221220001202210110000
410012220200222230111
514110014000310010
6333314330521513
726242136351400
oct4065040525425
9887801683400
10282000010005
11a966072140a
12467a1296299
1320791902a5c
14d912718d37
1575073087c0
hex41a882ab15

282000010005 has 120 divisors (see below), whose sum is σ = 591299949240. Its totient is φ = 128200423680.

The previous prime is 282000010003. The next prime is 282000010009. The reversal of 282000010005 is 500010000282.

It can be written as a sum of positive squares in 4 ways, for example, as 17138475396 + 264861534609 = 130914^2 + 514647^2 .

It is not a de Polignac number, because 282000010005 - 21 = 282000010003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 282000010005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282000010003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3552691 + ... + 3631199.

It is an arithmetic number, because the mean of its divisors is an integer number (4927499577).

Almost surely, 2282000010005 is an apocalyptic number.

It is an amenable number.

282000010005 is an abundant number, since it is smaller than the sum of its proper divisors (309299939235).

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

282000010005 is a wasteful number, since it uses less digits than its factorization.

282000010005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78721 (or 78705 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 282000010005 its reverse (500010000282), we get a palindrome (782010010287).

The spelling of 282000010005 in words is "two hundred eighty-two billion, ten thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 181 189 245 315 405 441 543 567 735 905 945 1267 1323 1629 2205 2715 2835 3801 3969 4887 6335 6615 8145 8869 11403 14661 19005 19845 24435 26607 34209 44345 57015 73305 78509 79821 102627 133035 171045 235527 239463 392545 399105 513135 549563 706581 718389 1177635 1197315 1648689 2119743 2747815 3532905 3591945 3846941 4946067 6359229 8243445 10598715 11540823 14210129 14838201 19234705 24730335 31796145 34622469 42630387 44514603 57704115 71050645 74191005 99470903 103867407 127891161 173112345 213151935 222573015 298412709 311602221 383673483 497354515 519337035 639455805 696296321 895238127 1151020449 1492063545 1558011105 1918367415 2088888963 2685714381 3481481605 4476190635 5755102245 6266666889 8057143143 10444444815 13428571905 18800000667 31333334445 40285715715 56400002001 94000003335 282000010005