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82060856584 = 2374759618663
BaseRepresentation
bin100110001101100110…
…1010100110100001000
321211210221222102202121
41030123031110310020
52321030034402314
6101410452541024
75633354525560
oct1143315246410
9254727872677
1082060856584
113189023a143
1213aa2021774
13797a098c95
143d86755da0
1522043a2d24
hex131b354d08

82060856584 has 128 divisors (see below), whose sum is σ = 185645260800. Its totient is φ = 33278711040.

The previous prime is 82060856557. The next prime is 82060856599. The reversal of 82060856584 is 48565806028.

It is a super-2 number, since 2×820608565842 (a number of 23 digits) contains 22 as substring.

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, 9468237 + ... + 9476899.

It is an arithmetic number, because the mean of its divisors is an integer number (1450353600).

Almost surely, 282060856584 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 82060856584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92822630400).

82060856584 is an abundant number, since it is smaller than the sum of its proper divisors (103584404216).

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

82060856584 is a wasteful number, since it uses less digits than its factorization.

82060856584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8843 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 82060856584 in words is "eighty-two billion, sixty million, eight hundred fifty-six thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 47 56 59 61 94 118 122 188 236 244 329 376 413 427 472 488 658 826 854 1316 1652 1708 2632 2773 2867 3304 3416 3599 5546 5734 7198 8663 11092 11468 14396 17326 19411 20069 22184 22936 25193 28792 34652 38822 40138 50386 60641 69304 77644 80276 100772 121282 155288 160552 169153 201544 242564 338306 407161 485128 511117 528443 676612 814322 1022234 1056886 1184071 1353224 1628644 2044468 2113772 2368142 2850127 3257288 3577819 3699101 4088936 4227544 4736284 5700254 7155638 7398202 9472568 11400508 14311276 14796404 22801016 24022499 24836821 28622552 29592808 31178137 48044998 49673642 62356274 96089996 99347284 124712548 168157493 173857747 192179992 198694568 218246959 249425096 336314986 347715494 436493918 672629972 695430988 872987836 1345259944 1390861976 1465372439 1745975672 2930744878 5861489756 10257607073 11722979512 20515214146 41030428292 82060856584