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82646460660 = 223531379117239
BaseRepresentation
bin100110011111000011…
…1001110100011110100
321220022202220012112110
41030332013032203310
52323224443220120
6101544532251020
75654025216231
oct1147607164364
9256282805473
1082646460660
1132060855155
1214026170a70
137a414c417a
144000432788
15223a9ca2e0
hex133e1ce8f4

82646460660 has 96 divisors (see below), whose sum is σ = 239507251200. Its totient is φ = 21271662720.

The previous prime is 82646460643. The next prime is 82646460667. The reversal of 82646460660 is 6606464628.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82646460667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646321 + ... + 763559.

It is an arithmetic number, because the mean of its divisors is an integer number (2494867200).

Almost surely, 282646460660 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 82646460660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119753625600).

82646460660 is an abundant number, since it is smaller than the sum of its proper divisors (156860790540).

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

82646460660 is a wasteful number, since it uses less digits than its factorization.

82646460660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117661 (or 117659 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 82646460660 in words is "eighty-two billion, six hundred forty-six million, four hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 379 465 620 758 930 1137 1516 1860 1895 2274 3790 4548 5685 7580 11370 11749 22740 23498 35247 46996 58745 70494 117239 117490 140988 176235 234478 234980 351717 352470 468956 586195 703434 704940 1172390 1406868 1758585 2344780 3517170 3634409 7034340 7268818 10903227 14537636 18172045 21806454 36344090 43612908 44433581 54516135 72688180 88867162 109032270 133300743 177734324 218064540 222167905 266601486 444335810 533202972 666503715 888671620 1333007430 1377441011 2666014860 2754882022 4132323033 5509764044 6887205055 8264646066 13774410110 16529292132 20661615165 27548820220 41323230330 82646460660