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82686363840 = 263359570181
BaseRepresentation
bin100110100000001111…
…1011100100011000000
321220102112222111102000
41031000133130203000
52323320202120330
6101552515424000
75655021332103
oct1150037344300
9256375874360
1082686363840
1132081329a93
12140375b5000
137a49855912
14400585c73a
15223e25d560
hex13407dc8c0

82686363840 has 112 divisors (see below), whose sum is σ = 291699147360. Its totient is φ = 22049694720.

The previous prime is 82686363803. The next prime is 82686363841. The reversal of 82686363840 is 4836368628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82686363841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4776451 + ... + 4793730.

Almost surely, 282686363840 is an apocalyptic number.

82686363840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82686363840 is an abundant number, since it is smaller than the sum of its proper divisors (209012783520).

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

82686363840 is a wasteful number, since it uses less digits than its factorization.

82686363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9570207 (or 9570191 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 82686363840 in words is "eighty-two billion, six hundred eighty-six million, three hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 9570181 19140362 28710543 38280724 47850905 57421086 76561448 86131629 95701810 114842172 143552715 153122896 172263258 191403620 229684344 258394887 287105430 306245792 344526516 382807240 430658145 459368688 516789774 574210860 612491584 689053032 765614480 861316290 918737376 1033579548 1148421720 1291974435 1378106064 1531228960 1722632580 1837474752 2067159096 2296843440 2583948870 2756212128 3062457920 3445265160 4134318192 4593686880 5167897740 5512424256 6890530320 8268636384 9187373760 10335795480 13781060640 16537272768 20671590960 27562121280 41343181920 82686363840