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82947316788 = 22347191924889
BaseRepresentation
bin100110101000000001…
…0111001110000110100
321221002202000021120000
41031100002321300310
52324334003114123
6102034440511300
75664340362630
oct1152002716064
9257082007500
1082947316788
11321a5663886
12140aaa7b530
137a8b93184b
14402c389dc0
152257107b43
hex13500b9c34

82947316788 has 120 divisors (see below), whose sum is σ = 260861092800. Its totient is φ = 22451893632.

The previous prime is 82947316783. The next prime is 82947316841. The reversal of 82947316788 is 88761374928.

82947316788 is a `hidden beast` number, since 8 + 29 + 473 + 1 + 67 + 88 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82947316783) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 919353 + ... + 1005536.

It is an arithmetic number, because the mean of its divisors is an integer number (2173842440).

Almost surely, 282947316788 is an apocalyptic number.

It is an amenable number.

82947316788 is an abundant number, since it is smaller than the sum of its proper divisors (177913776012).

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

82947316788 is a wasteful number, since it uses less digits than its factorization.

82947316788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924931 (or 1924920 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 82947316788 in words is "eighty-two billion, nine hundred forty-seven million, three hundred sixteen thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1596 2052 2268 2394 3078 3591 4788 6156 7182 10773 14364 21546 43092 1924889 3849778 5774667 7699556 11549334 13474223 17324001 23098668 26948446 34648002 36572891 40422669 51972003 53896892 69296004 73145782 80845338 103944006 109718673 121268007 146291564 155916009 161690676 207888012 219437346 242536014 256010237 311832018 329156019 363804021 438874692 485072028 512020474 623664036 658312038 727608042 768030711 987468057 1024040948 1091412063 1316624076 1455216084 1536061422 1974936114 2182824126 2304092133 2962404171 3072122844 3949872228 4365648252 4608184266 5924808342 6912276399 9216368532 11849616684 13824552798 20736829197 27649105596 41473658394 82947316788