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82271066840 = 23517537393089
BaseRepresentation
bin100110010011110111…
…1001101101011011000
321212100121112020000122
41030213233031223120
52321442343114330
6101443402252412
75641516346504
oct1144757155330
9255317466018
1082271066840
1131988966226
1213b404b7108
1379b17b9751
143da6635304
152217a775e5
hex1327bcdad8

82271066840 has 128 divisors (see below), whose sum is σ = 200031768000. Its totient is φ = 30337302528.

The previous prime is 82271066837. The next prime is 82271066897. The reversal of 82271066840 is 4866017228.

It is a junction number, because it is equal to n+sod(n) for n = 82271066791 and 82271066800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26632016 + ... + 26635104.

Almost surely, 282271066840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82271066840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100015884000).

82271066840 is an abundant number, since it is smaller than the sum of its proper divisors (117760701160).

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

82271066840 is a wasteful number, since it uses less digits than its factorization.

82271066840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 82271066840 in words is "eighty-two billion, two hundred seventy-one million, sixty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 739 901 1060 1478 1802 2120 2956 3089 3604 3695 4505 5912 6178 7208 7390 9010 12356 12563 14780 15445 18020 24712 25126 29560 30890 36040 39167 50252 52513 61780 62815 78334 100504 105026 123560 125630 156668 163717 195835 210052 251260 262565 313336 327434 391670 420104 502520 525130 654868 665839 783340 818585 1050260 1309736 1331678 1566680 1637170 2100520 2282771 2663356 2783189 3274340 3329195 4565542 5326712 5566378 6548680 6658390 9131084 11132756 11413855 13316780 13915945 18262168 22265512 22827710 26633560 27831890 38807107 45655420 55663780 77614214 91310840 111327560 120986863 155228428 194035535 241973726 310456856 388071070 483947452 604934315 776142140 967894904 1209868630 1552284280 2056776671 2419737260 4113553342 4839474520 8227106684 10283883355 16454213368 20567766710 41135533420 82271066840