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283872542940 = 2232571072105567
BaseRepresentation
bin1000010000110000001…
…11110100000011011100
31000010201120021022201200
410020120013310003130
514122332332333230
6334224221435500
726336424542160
oct4103007640334
91003646238650
10283872542940
11aa431717098
124702440bb90
13209cc83a4cc
14da4d2b2ca0
1575b68dd160
hex42181f40dc

283872542940 has 144 divisors (see below), whose sum is σ = 993289070592. Its totient is φ = 64278718848.

The previous prime is 283872542927. The next prime is 283872542953. The reversal of 283872542940 is 49245278382.

283872542940 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 7 + 2 + 542 + 94 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (283872542927) and next prime (283872542953).

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, 917964 + ... + 1187603.

It is an arithmetic number, because the mean of its divisors is an integer number (6897840768).

Almost surely, 2283872542940 is an apocalyptic number.

283872542940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

283872542940 is an abundant number, since it is smaller than the sum of its proper divisors (709416527652).

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

283872542940 is a wasteful number, since it uses less digits than its factorization.

283872542940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105696 (or 2105691 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 283872542940 in words is "two hundred eighty-three billion, eight hundred seventy-two million, five hundred forty-two thousand, nine 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 90 105 107 126 140 180 210 214 252 315 321 420 428 535 630 642 749 963 1070 1260 1284 1498 1605 1926 2140 2247 2996 3210 3745 3852 4494 4815 6420 6741 7490 8988 9630 11235 13482 14980 19260 22470 26964 33705 44940 67410 134820 2105567 4211134 6316701 8422268 10527835 12633402 14738969 18950103 21055670 25266804 29477938 31583505 37900206 42111340 44216907 58955876 63167010 73694845 75800412 88433814 94750515 126334020 132650721 147389690 176867628 189501030 221084535 225295669 265301442 294779380 379002060 442169070 450591338 530602884 663253605 675887007 884338140 901182676 1126478345 1326507210 1351774014 1577069683 2027661021 2252956690 2653014420 2703548028 3154139366 3379435035 4055322042 4505913380 4731209049 6308278732 6758870070 7885348415 8110644084 9462418098 10138305105 13517740140 14193627147 15770696830 18924836196 20276610210 23656045245 28387254294 31541393660 40553220420 47312090490 56774508588 70968135735 94624180980 141936271470 283872542940