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82669446764 = 223710310750683
BaseRepresentation
bin100110011111101111…
…0111010011001101100
321220101101011000112122
41030333132322121230
52323301334244024
6101551113052112
75654424463142
oct1147736723154
9256341130478
1082669446764
1132072824a33
12140319b7038
137a461b1808
1440034d7592
15223ca1ad5e
hex133f7ba66c

82669446764 has 48 divisors (see below), whose sum is σ = 151429195008. Its totient is φ = 39454112448.

The previous prime is 82669446763. The next prime is 82669446787. The reversal of 82669446764 is 46764496628.

It is a junction number, because it is equal to n+sod(n) for n = 82669446697 and 82669446706.

It is not an unprimeable number, because it can be changed into a prime (82669446763) by changing a digit.

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, 1605767 + ... + 1656449.

It is an arithmetic number, because the mean of its divisors is an integer number (3154774896).

Almost surely, 282669446764 is an apocalyptic number.

It is an amenable number.

82669446764 is a deficient number, since it is larger than the sum of its proper divisors (68759748244).

82669446764 is a wasteful number, since it uses less digits than its factorization.

82669446764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50934 (or 50932 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 62.

The spelling of 82669446764 in words is "eighty-two billion, six hundred sixty-nine million, four hundred forty-six thousand, seven hundred sixty-four".

Divisors: 1 2 4 37 74 103 107 148 206 214 412 428 3811 3959 7622 7918 11021 15244 15836 22042 44084 50683 101366 202732 407777 815554 1631108 1875271 3750542 5220349 5423081 7501084 10440698 10846162 20881396 21692324 193152913 200653997 386305826 401307994 558577343 772611652 802615988 1117154686 2234309372 20667361691 41334723382 82669446764