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9641865249 = 327124612
BaseRepresentation
bin10001111101011001…
…10011000000100001
3220212221212111121100
420332230303000201
5124221304141444
64232430345013
7460635334212
oct107654630041
926787774540
109641865249
1140a8644085
121a5105b169
13ba8746713
14676779409
153b6718e69
hex23eb33021

9641865249 has 27 divisors (see below), whose sum is σ = 14156767027. Its totient is φ = 6323629200.

The previous prime is 9641865217. The next prime is 9641865263. The reversal of 9641865249 is 9425681469.

The square root of 9641865249 is 98193.

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., 3090581649 + 6551283600 = 55593^2 + 80940^2 .

It is not a de Polignac number, because 9641865249 - 25 = 9641865217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9641865195 and 9641865204.

It is not an unprimeable number, because it can be changed into a prime (9641865209) 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, 20914879 + ... + 20915339.

Almost surely, 29641865249 is an apocalyptic number.

9641865249 is the 98193-rd square number.

9641865249 is the 49097-th centered octagonal number.

It is an amenable number.

9641865249 is a deficient number, since it is larger than the sum of its proper divisors (4514901778).

9641865249 is an frugal number, since it uses more digits than its factorization.

9641865249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The cubic root of 9641865249 is about 2128.4021349604.

The spelling of 9641865249 in words is "nine billion, six hundred forty-one million, eight hundred sixty-five thousand, two hundred forty-nine".

Divisors: 1 3 9 71 213 461 639 1383 4149 5041 15123 32731 45369 98193 212521 294579 637563 1912689 2323901 6971703 15088991 20915109 45266973 135800919 1071318361 3213955083 9641865249