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2806205064 = 2331331290137
BaseRepresentation
bin1010011101000011…
…0100101010001000
321020120100222122220
42213100310222020
521221342030224
61142242414040
7126353230605
oct24720645210
97216328586
102806205064
111210036443
12663961320
133594c0690
141c899b6ac
15116563279
hexa7434a88

2806205064 has 64 divisors (see below), whose sum is σ = 7798909440. Its totient is φ = 835591680.

The previous prime is 2806205063. The next prime is 2806205071. The reversal of 2806205064 is 4605026082.

It is a super-2 number, since 2×28062050642 = 15749573722438488192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2806205063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135397 + ... + 154740.

It is an arithmetic number, because the mean of its divisors is an integer number (121857960).

Almost surely, 22806205064 is an apocalyptic number.

2806205064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2806205064 is an abundant number, since it is smaller than the sum of its proper divisors (4992704376).

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

2806205064 is a wasteful number, since it uses less digits than its factorization.

2806205064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290190 (or 290186 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2806205064 is about 52973.6261171538. The cubic root of 2806205064 is about 1410.5001434817.

The spelling of 2806205064 in words is "two billion, eight hundred six million, two hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 290137 580274 870411 1160548 1740822 2321096 3481644 3771781 6963288 7543562 8994247 11315343 15087124 17988494 22630686 26982741 30174248 35976988 45261372 53965482 71953976 90522744 107930964 116925211 215861928 233850422 350775633 467700844 701551266 935401688 1403102532 2806205064