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8052011289 = 327242732
BaseRepresentation
bin1110111111110111…
…11111000100011001
3202210011021112222100
413133323333010121
5112442303330124
63410554314013
7403351652400
oct73773770431
922704245870
108052011289
113462172293
121688728909
139b4253b2a
14565566637
15321d711c9
hex1dfeff119

8052011289 has 27 divisors (see below), whose sum is σ = 13532737023. Its totient is φ = 4600072512.

The previous prime is 8052011287. The next prime is 8052011323. The reversal of 8052011289 is 9821102508.

The square root of 8052011289 is 89733.

It is a perfect power (a square), and thus also a powerful number.

8052011289 is a `hidden beast` number, since 8 + 0 + 520 + 1 + 128 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2183225625 + 5868785664 = 46725^2 + 76608^2 .

It is not a de Polignac number, because 8052011289 - 21 = 8052011287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8052011287) 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 26 ways as a sum of consecutive naturals, for example, 1882257 + ... + 1886529.

Almost surely, 28052011289 is an apocalyptic number.

8052011289 is the 89733-rd square number.

8052011289 is the 44867-th centered octagonal number.

It is an amenable number.

8052011289 is a deficient number, since it is larger than the sum of its proper divisors (5480725734).

8052011289 is an frugal number, since it uses more digits than its factorization.

8052011289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8566 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The cubic root of 8052011289 is about 2004.3249148975.

Multiplying 8052011289 by its sum of digits (36), we get a square (289872406404 = 5383982).

It can be divided in two parts, 80520 and 11289, that added together give a square (91809 = 3032).

The spelling of 8052011289 in words is "eight billion, fifty-two million, eleven thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 4273 12819 29911 38457 89733 209377 269199 628131 1884393 18258529 54775587 127809703 164326761 383429109 894667921 1150287327 2684003763 8052011289