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285056791740 = 2232571229184081
BaseRepresentation
bin1000010010111101011…
…01010111010010111100
31000020210002122101200100
410021132231113102330
514132244014313430
6334541524201100
726410654515450
oct4113655272274
91006702571610
10285056791740
11aa98a144806
12472b4b39190
1320b5aca8446
14db226a2660
157635866960
hex425eb574bc

285056791740 has 144 divisors (see below), whose sum is σ = 989006316480. Its totient is φ = 65102469120.

The previous prime is 285056791717. The next prime is 285056791751. The reversal of 285056791740 is 47197650582.

285056791740 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 567 + 9 + 1 + 74 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1456500 + ... + 1640580.

It is an arithmetic number, because the mean of its divisors is an integer number (6868099420).

Almost surely, 2285056791740 is an apocalyptic number.

285056791740 is a gapful number since it is divisible by the number (20) 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 285056791740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494503158240).

285056791740 is an abundant number, since it is smaller than the sum of its proper divisors (703949524740).

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

285056791740 is a wasteful number, since it uses less digits than its factorization.

285056791740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185332 (or 185327 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 285056791740 in words is "two hundred eighty-five billion, fifty-six million, seven hundred ninety-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1229 1260 2458 3687 4916 6145 7374 8603 11061 12290 14748 17206 18435 22122 24580 25809 34412 36870 43015 44244 51618 55305 73740 77427 86030 103236 110610 129045 154854 172060 184081 221220 258090 309708 368162 387135 516180 552243 736324 774270 920405 1104486 1288567 1548540 1656729 1840810 2208972 2577134 2761215 3313458 3681620 3865701 5154268 5522430 6442835 6626916 7731402 8283645 11044860 11597103 12885670 15462804 16567290 19328505 23194206 25771340 33134580 38657010 46388412 57985515 77314020 115971030 226235549 231942060 452471098 678706647 904942196 1131177745 1357413294 1583648843 2036119941 2262355490 2714826588 3167297686 3393533235 4072239882 4524710980 4750946529 6334595372 6787066470 7918244215 8144479764 9501893058 10180599705 13574132940 14252839587 15836488430 19003786116 20361199410 23754732645 28505679174 31672976860 40722398820 47509465290 57011358348 71264197935 95018930580 142528395870 285056791740