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820808264666 = 2131710169182617
BaseRepresentation
bin10111111000110111111…
…11000010101111011010
32220110122112120002220202
423330123333002233122
5101422003403432131
61425024001422202
7113205252063455
oct13743377025732
92813575502822
10820808264666
11297114959a45
121130b303a962
135c52bc3bc10
142ba27b2849c
151653eeb8bcb
hexbf1bfc2bda

820808264666 has 32 divisors (see below), whose sum is σ = 1404062145360. Its totient is φ = 356513181696.

The previous prime is 820808264641. The next prime is 820808264707. The reversal of 820808264666 is 666462808028.

It can be written as a sum of positive squares in 8 ways, for example, as 710853020641 + 109955244025 = 843121^2 + 331595^2 .

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4403390 + ... + 4586006.

Almost surely, 2820808264666 is an apocalyptic number.

820808264666 is a deficient number, since it is larger than the sum of its proper divisors (583253880694).

820808264666 is a wasteful number, since it uses less digits than its factorization.

820808264666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192818.

The product of its (nonzero) digits is 10616832, while the sum is 56.

The spelling of 820808264666 in words is "eight hundred twenty billion, eight hundred eight million, two hundred sixty-four thousand, six hundred sixty-six".

Divisors: 1 2 13 17 26 34 221 442 10169 20338 132197 172873 182617 264394 345746 365234 2247349 2374021 3104489 4494698 4748042 6208978 40358357 80716714 1857032273 3714064546 24141419549 31569548641 48282839098 63139097282 410404132333 820808264666