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82865755620096 = 283596727295249
BaseRepresentation
bin10010110101110110101111…
…111011011000001100000000
3101212101212222222122012210120
4102311312233323120030000
541330133031414320341
6452124000321100240
723311565450016561
oct2265665773301400
9355355888565716
1082865755620096
11244491958182a9
129363b31a87680
1337312903735a7
141666a1c816168
1598a7dd8c0066
hex4b5dafed8300

82865755620096 has 144 divisors (see below), whose sum is σ = 227629283280000. Its totient is φ = 26748469592064.

The previous prime is 82865755620079. The next prime is 82865755620097. The reversal of 82865755620096 is 69002655756828.

It is a self number, because there is not a number n which added to its sum of digits gives 82865755620096.

It is not an unprimeable number, because it can be changed into a prime (82865755620097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10611721 + ... + 16683528.

Almost surely, 282865755620096 is an apocalyptic number.

It is an amenable number.

82865755620096 is an abundant number, since it is smaller than the sum of its proper divisors (144763527659904).

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

82865755620096 is a wasteful number, since it uses less digits than its factorization.

82865755620096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27295394 (or 27295380 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 69.

The spelling of 82865755620096 in words is "eighty-two trillion, eight hundred sixty-five billion, seven hundred fifty-five million, six hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 67 96 118 128 134 177 192 201 236 256 268 354 384 402 472 536 708 768 804 944 1072 1416 1608 1888 2144 2832 3216 3776 3953 4288 5664 6432 7552 7906 8576 11328 11859 12864 15104 15812 17152 22656 23718 25728 31624 45312 47436 51456 63248 94872 126496 189744 252992 379488 505984 758976 1011968 1517952 3035904 27295249 54590498 81885747 109180996 163771494 218361992 327542988 436723984 655085976 873447968 1310171952 1610419691 1746895936 1828781683 2620343904 3220839382 3493791872 3657563366 4831259073 5240687808 5486345049 6441678764 6987583744 7315126732 9662518146 10481375616 10972690098 12883357528 14630253464 19325036292 20962751232 21945380196 25766715056 29260506928 38650072584 43890760392 51533430112 58521013856 77300145168 87781520784 103066860224 107898119297 117042027712 154600290336 175563041568 206133720448 215796238594 234084055424 309200580672 323694357891 351126083136 412267440896 431592477188 468168110848 618401161344 647388715782 702252166272 863184954376 1236802322688 1294777431564 1404504332544 1726369908752 2589554863128 3452739817504 5179109726256 6905479635008 10358219452512 13810959270016 20716438905024 27621918540032 41432877810048 82865755620096