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647273348089 = 73210321072
BaseRepresentation
bin10010110101101000111…
…11110111101111111001
32021212201120222221212021
421122310133313233321
541101103434114324
61213204150114441
764523015452204
oct11326437675771
92255646887767
10647273348089
1122a563a26715
12a554264ba21
1349064841724
142348480493b
1511c85165ae4
hex96b47f7bf9

647273348089 has 27 divisors (see below), whose sum is σ = 668946191823. Its totient is φ = 626299977312.

The previous prime is 647273348083. The next prime is 647273348119. The reversal of 647273348089 is 980843372746.

It is a happy number.

The square root of 647273348089 is 804533.

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

It can be written as a sum of positive squares in only one way, i.e., 367423884025 + 279849464064 = 606155^2 + 529008^2 .

It is not a de Polignac number, because 647273348089 - 29 = 647273347577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (647273348083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6049283574 + ... + 6049283680.

Almost surely, 2647273348089 is an apocalyptic number.

647273348089 is the 804533-rd square number.

647273348089 is the 402267-th centered octagonal number.

It is an amenable number.

647273348089 is a deficient number, since it is larger than the sum of its proper divisors (21672843734).

647273348089 is an frugal number, since it uses more digits than its factorization.

647273348089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 61.

The spelling of 647273348089 in words is "six hundred forty-seven billion, two hundred seventy-three million, three hundred forty-eight thousand, eighty-nine".

Divisors: 1 73 103 107 5329 7519 7811 10609 11021 11449 548887 570203 774457 804533 835777 1135163 1179247 56535361 58730909 61011721 82866899 86085031 121462441 6049283627 6284207263 8866758193 647273348089