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82622439695112 = 233238314912103043
BaseRepresentation
bin10010110010010100001001…
…001010110010001100001000
3101211112121221212210112212020
4102302110021022302030020
541312141224030220422
6451420120320244440
723255163035542152
oct2262241112621410
9354477855715766
1082622439695112
1124364a86277599
129324947a70720
133714355005195
141658d39a03ad2
159842ec7b795c
hex4b25092b2308

82622439695112 has 128 divisors (see below), whose sum is σ = 219597630336000. Its totient is φ = 25851323117312.

The previous prime is 82622439695071. The next prime is 82622439695113. The reversal of 82622439695112 is 21159693422628.

It is not an unprimeable number, because it can be changed into a prime (82622439695113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 775063 + ... + 12878105.

It is an arithmetic number, because the mean of its divisors is an integer number (1715606487000).

Almost surely, 282622439695112 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 82622439695112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798815168000).

82622439695112 is an abundant number, since it is smaller than the sum of its proper divisors (136975190640888).

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

82622439695112 is a wasteful number, since it uses less digits than its factorization.

82622439695112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103307 (or 12103303 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The spelling of 82622439695112 in words is "eighty-two trillion, six hundred twenty-two billion, four hundred thirty-nine million, six hundred ninety-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 83 92 138 149 166 184 249 276 298 332 447 498 552 596 664 894 996 1192 1788 1909 1992 3427 3576 3818 5727 6854 7636 10281 11454 12367 13708 15272 20562 22908 24734 27416 37101 41124 45816 49468 74202 82248 98936 148404 284441 296808 568882 853323 1137764 1706646 2275528 3413292 6826584 12103043 24206086 36309129 48412172 72618258 96824344 145236516 278369989 290473032 556739978 835109967 1004552569 1113479956 1670219934 1803353407 2009105138 2226959912 3013657707 3340439868 3606706814 4018210276 5410060221 6027315414 6680879736 7213413628 8036420552 10820120442 12054630828 14426827256 21640240884 23104709087 24109261656 41477128361 43280481768 46209418174 69314127261 82954256722 92418836348 124431385083 138628254522 149678332781 165908513444 184837672696 248862770166 277256509044 299356665562 331817026888 449034998343 497725540332 554513018088 598713331124 898069996686 995451080664 1197426662248 1796139993372 3442601653963 3592279986744 6885203307926 10327804961889 13770406615852 20655609923778 27540813231704 41311219847556 82622439695112