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41664433561 = 1761137293269
BaseRepresentation
bin100110110011011001…
…001100110110011001
310222112122222112002221
4212303121030312121
51140312043333221
631050153224041
73003324561532
oct466331146631
9128478875087
1041664433561
1116740539673
1280a9402021
133c0cb582aa
142033675689
15113cbb2541
hex9b364cd99

41664433561 has 16 divisors (see below), whose sum is σ = 45165926160. Its totient is φ = 38289070080.

The previous prime is 41664433549. The next prime is 41664433609. The reversal of 41664433561 is 16533446614.

It can be written as a sum of positive squares in 8 ways, for example, as 963792025 + 40700641536 = 31045^2 + 201744^2 .

It is not a de Polignac number, because 41664433561 - 217 = 41664302489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41664433861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4566 + ... + 288703.

It is an arithmetic number, because the mean of its divisors is an integer number (2822870385).

Almost surely, 241664433561 is an apocalyptic number.

It is an amenable number.

41664433561 is a deficient number, since it is larger than the sum of its proper divisors (3501492599).

41664433561 is a wasteful number, since it uses less digits than its factorization.

41664433561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293484.

The product of its digits is 622080, while the sum is 43.

The spelling of 41664433561 in words is "forty-one billion, six hundred sixty-four million, four hundred thirty-three thousand, five hundred sixty-one".

Divisors: 1 17 61 137 1037 2329 8357 142069 293269 4985573 17889409 40177853 304119953 683023501 2450849033 41664433561