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9966561441 = 332511021897
BaseRepresentation
bin10010100100000110…
…11010100010100001
3221201120211210001020
421102003122202201
5130402414431231
64324550000053
7501660242304
oct112203324241
927646753036
109966561441
114254956141
121b21946029
13c2aab0345
146a793ab3b
153d4ea5396
hex2520da8a1

9966561441 has 8 divisors (see below), whose sum is σ = 13292849184. Its totient is φ = 6642324000.

The previous prime is 9966561427. The next prime is 9966561443. The reversal of 9966561441 is 1441656699.

It is a happy number.

9966561441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9966561441 - 213 = 9966553249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9966561443) 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 7 ways as a sum of consecutive naturals, for example, 501196 + ... + 520701.

It is an arithmetic number, because the mean of its divisors is an integer number (1661606148).

Almost surely, 29966561441 is an apocalyptic number.

It is an amenable number.

9966561441 is a deficient number, since it is larger than the sum of its proper divisors (3326287743).

9966561441 is a wasteful number, since it uses less digits than its factorization.

9966561441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025151.

The product of its digits is 1399680, while the sum is 51.

The square root of 9966561441 is about 99832.6672036764. The cubic root of 9966561441 is about 2152.0306353835.

The spelling of 9966561441 in words is "nine billion, nine hundred sixty-six million, five hundred sixty-one thousand, four hundred forty-one".

Divisors: 1 3 3251 9753 1021897 3065691 3322187147 9966561441