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82678801326 = 231137109131033
BaseRepresentation
bin100110100000000001…
…0100110001110101110
321220102000202021120220
41031000002212032232
52323311233120301
6101552045352210
75654600134002
oct1150002461656
9256360667526
1082678801326
1132078034180
1214034b68666
137a48108664
144004850702
15223d767936
hex13400a63ae

82678801326 has 64 divisors (see below), whose sum is σ = 185441308416. Its totient is φ = 24353913600.

The previous prime is 82678801319. The next prime is 82678801349. The reversal of 82678801326 is 62310887628.

It is a happy number.

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, 2648706 + ... + 2679738.

It is an arithmetic number, because the mean of its divisors is an integer number (2897520444).

Almost surely, 282678801326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82678801326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92720654208).

82678801326 is an abundant number, since it is smaller than the sum of its proper divisors (102762507090).

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

82678801326 is a wasteful number, since it uses less digits than its factorization.

82678801326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32177.

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 82678801326 in words is "eighty-two billion, six hundred seventy-eight million, eight hundred one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1091 1221 2182 2442 3273 6546 12001 24002 31033 36003 40367 62066 72006 80734 93099 121101 186198 242202 341363 444037 682726 888074 1024089 1148221 1332111 2048178 2296442 2664222 3444663 6889326 12630431 25260862 33857003 37891293 67714006 75782586 101571009 203142018 372427033 744854066 1117281099 1252709111 2234562198 2505418222 3758127333 7516254666 13779800221 27559600442 41339400663 82678801326