Base | Representation |
---|---|
bin | 10011000010010001010101… |
… | …00110110110000101000000 |
3 | 12111012201121011102200122000 |
4 | 21201020222212312011000 |
5 | 20441311141304432424 |
6 | 225005550115544000 |
7 | 11550150410044650 |
oct | 1141105246660500 |
9 | 174181534380560 |
10 | 41859466092864 |
11 | 12379555376452 |
12 | 484078a5bb000 |
13 | 1a4843b772564 |
14 | a4a01a87a360 |
15 | 4c8cda1b33c9 |
hex | 26122a9b6140 |
41859466092864 has 448 divisors, whose sum is σ = 143948181780480. Its totient is φ = 11678581555200.
The previous prime is 41859466092863. The next prime is 41859466092869. The reversal of 41859466092864 is 46829066495814.
41859466092864 is a `hidden beast` number, since 4 + 1 + 8 + 5 + 9 + 4 + 6 + 609 + 2 + 8 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 41859466092792 and 41859466092801.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41859466092863) 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 63 ways as a sum of consecutive naturals, for example, 2497126147 + ... + 2497142909.
It is an arithmetic number, because the mean of its divisors is an integer number (321312905760).
Almost surely, 241859466092864 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 41859466092864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71974090890240).
41859466092864 is an abundant number, since it is smaller than the sum of its proper divisors (102088715687616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41859466092864 is a wasteful number, since it uses less digits than its factorization.
41859466092864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21635 (or 21619 counting only the distinct ones).
The product of its (nonzero) digits is 716636160, while the sum is 72.
The spelling of 41859466092864 in words is "forty-one trillion, eight hundred fifty-nine billion, four hundred sixty-six million, ninety-two thousand, eight hundred sixty-four".
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