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8639144809 = 41222672
BaseRepresentation
bin10000000101110111…
…01110001101101001
3211022002002000202021
420002323232031221
5120143110113214
63545130504441
7424041343051
oct100273561551
924262060667
108639144809
1137336323a9
121811295121
13a78a96209
145bd520561
1535869b924
hex202eee369

8639144809 has 9 divisors (see below), whose sum is σ = 8858902711. Its totient is φ = 8424716080.

The previous prime is 8639144807. The next prime is 8639144831. The reversal of 8639144809 is 9084419368.

It is a happy number.

The square root of 8639144809 is 92947.

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

8639144809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 416282409 + 8222862400 = 20403^2 + 90680^2 .

It is not a de Polignac number, because 8639144809 - 21 = 8639144807 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8639144807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3809694 + ... + 3811960.

Almost surely, 28639144809 is an apocalyptic number.

8639144809 is the 92947-th square number.

8639144809 is the 46474-th centered octagonal number.

It is an amenable number.

8639144809 is a deficient number, since it is larger than the sum of its proper divisors (219757902).

8639144809 is an frugal number, since it uses more digits than its factorization.

8639144809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The cubic root of 8639144809 is about 2051.9034321097.

The spelling of 8639144809 in words is "eight billion, six hundred thirty-nine million, one hundred forty-four thousand, eight hundred nine".

Divisors: 1 41 1681 2267 92947 3810827 5139289 210710849 8639144809