| Base | Representation |
|---|---|
| bin | 10010111001000100010001… |
| … | …01000101110011000000000 |
| 3 | 12110002111022011012122222000 |
| 4 | 21130202020220232120000 |
| 5 | 20421121001303022000 |
| 6 | 224204405012144000 |
| 7 | 11515253423130000 |
| oct | 1134421050563000 |
| 9 | 173074264178860 |
| 10 | 41543216064000 |
| 11 | 12267419490a32 |
| 12 | 47ab42b008000 |
| 13 | 1a2467c137b71 |
| 14 | a389b94c0000 |
| 15 | 4c097b0c1000 |
| hex | 25c888a2e600 |
41543216064000 has 6400 divisors, whose sum is σ = 205980359270400. Its totient is φ = 8193540096000.
The previous prime is 41543216063989. The next prime is 41543216064001. The reversal of 41543216064000 is 46061234514.
41543216064000 is a `hidden beast` number, since 4 + 1 + 5 + 4 + 3 + 2 + 1 + 6 + 0 + 640 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (6400).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41543216064001) by changing a digit.
It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1340103743985 + ... + 1340103744015.
It is an arithmetic number, because the mean of its divisors is an integer number (32184431136).
Almost surely, 241543216064000 is an apocalyptic number.
41543216064000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 41543216064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102990179635200).
41543216064000 is an abundant number, since it is smaller than the sum of its proper divisors (164437143206400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41543216064000 is an equidigital number, since it uses as much as digits as its factorization.
41543216064000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 137 (or 84 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
Adding to 41543216064000 its reverse (46061234514), we get a palindrome (41589277298514).
The spelling of 41543216064000 in words is "forty-one trillion, five hundred forty-three billion, two hundred sixteen million, sixty-four thousand".
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