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82714084061332 = 2283985938817393
BaseRepresentation
bin10010110011101001011111…
…100110010011000010010100
3101211212101111201211201101011
4102303221133212103002110
541320141421004430312
6451530154201142004
723264616053030263
oct2263513746230224
9354771451751334
1082714084061332
112439a934112329
12933a66348a904
13371cb9b6c5209
14165d5510645da
159868b31a8da7
hex4b3a5f993094

82714084061332 has 48 divisors (see below), whose sum is σ = 145147899254400. Its totient is φ = 41243449927680.

The previous prime is 82714084061237. The next prime is 82714084061369. The reversal of 82714084061332 is 23316048041728.

It is a super-2 number, since 2×827140840613322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11188158628 + ... + 11188166020.

It is an arithmetic number, because the mean of its divisors is an integer number (3023914567800).

Almost surely, 282714084061332 is an apocalyptic number.

It is an amenable number.

82714084061332 is a deficient number, since it is larger than the sum of its proper divisors (62433815193068).

82714084061332 is a wasteful number, since it uses less digits than its factorization.

82714084061332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12976 (or 12974 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 82714084061332 in words is "eighty-two trillion, seven hundred fourteen billion, eighty-four million, sixty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 839 859 1678 1718 3356 3436 3881 7393 7762 14786 15524 29572 720701 1441402 2882804 3256159 3333779 6202727 6350587 6512318 6667558 12405454 12701174 13024636 13335116 24810908 25402348 28692233 57384466 114768932 2797040581 5328142493 5594081162 10656284986 11188162324 21312569972 24072783487 24646628147 48145566974 49293256294 96291133948 98586512588 20678521015333 41357042030666 82714084061332