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84827247813 = 3471157123819
BaseRepresentation
bin100111100000000011…
…0010001010011000101
322002221202102200010000
41033000012101103011
52342211233412223
6102545154151513
76062045465250
oct1170006212305
9262852380100
1084827247813
1132a7a851890
1214534582599
137ccb259779
144169d0c097
15231719e543
hex13c01914c5

84827247813 has 80 divisors (see below), whose sum is σ = 158268464640. Its totient is φ = 43987082400.

The previous prime is 84827247787. The next prime is 84827247847. The reversal of 84827247813 is 31874272848.

84827247813 is a `hidden beast` number, since 84 + 82 + 7 + 2 + 478 + 13 = 666.

It is not a de Polignac number, because 84827247813 - 212 = 84827243717 is a prime.

It is a super-2 number, since 2×848272478132 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 84827247813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84827247613) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3549418 + ... + 3573236.

It is an arithmetic number, because the mean of its divisors is an integer number (1978355808).

Almost surely, 284827247813 is an apocalyptic number.

It is an amenable number.

84827247813 is a deficient number, since it is larger than the sum of its proper divisors (73441216827).

84827247813 is a wasteful number, since it uses less digits than its factorization.

84827247813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24420 (or 24411 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 84827247813 in words is "eighty-four billion, eight hundred twenty-seven million, two hundred forty-seven thousand, eight hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 571 693 891 1713 2079 3997 5139 6237 6281 11991 15417 18843 23819 35973 43967 46251 56529 71457 107919 131901 166733 169587 214371 262009 323757 395703 500199 508761 643113 786027 1187109 1500597 1834063 1929339 2358081 3561327 4501791 5502189 7074243 13505373 13600649 16506567 21222729 40801947 49519701 95204543 122405841 148559103 149607139 285613629 367217523 448821417 856840887 1047249973 1101652569 1346464251 2570522661 3141749919 4039392753 7711567983 9425249757 12118178259 28275749271 84827247813