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82612359108 = 22384176777
BaseRepresentation
bin100110011110000010…
…1001000111111000100
321220020101201200000000
41030330011020333010
52323142230442413
6101541313321300
75653132315626
oct1147405107704
9256211650000
1082612359108
1132043583154
1214016866230
137a37414336
143dd9ab6c16
1522379e1073
hex133c148fc4

82612359108 has 108 divisors (see below), whose sum is σ = 222138255612. Its totient is φ = 26865457920.

The previous prime is 82612359097. The next prime is 82612359113. The reversal of 82612359108 is 80195321628.

It can be written as a sum of positive squares in 2 ways, for example, as 7123697604 + 75488661504 = 84402^2 + 274752^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1037616 + ... + 1114392.

Almost surely, 282612359108 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 82612359108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111069127806).

82612359108 is an abundant number, since it is smaller than the sum of its proper divisors (139525896504).

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

82612359108 is an equidigital number, since it uses as much as digits as its factorization.

82612359108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76846 (or 76823 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 82612359108 in words is "eighty-two billion, six hundred twelve million, three hundred fifty-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 729 738 972 1107 1458 1476 2187 2214 2916 3321 4374 4428 6561 6642 8748 9963 13122 13284 19926 26244 29889 39852 59778 76777 89667 119556 153554 179334 230331 269001 307108 358668 460662 538002 690993 921324 1076004 1381986 2072979 2763972 3147857 4145958 6218937 6295714 8291916 9443571 12437874 12591428 18656811 18887142 24875748 28330713 37313622 37774284 55970433 56661426 74627244 84992139 111940866 113322852 167911299 169984278 223881732 254976417 335822598 339968556 503733897 509952834 671645196 764929251 1007467794 1019905668 1529858502 2014935588 2294787753 3059717004 4589575506 6884363259 9179151012 13768726518 20653089777 27537453036 41306179554 82612359108