| Base | Representation |
|---|---|
| bin | 100110101001111011… |
| … | …011011000110000000 |
| 3 | 10222010121011121012100 |
| 4 | 212221323123012000 |
| 5 | 1140000420221030 |
| 6 | 31022321430400 |
| 7 | 2666356025223 |
| oct | 465173330600 |
| 9 | 128117147170 |
| 10 | 41505632640 |
| 11 | 1666993613a |
| 12 | 806419b400 |
| 13 | 3bb5c97554 |
| 14 | 201a5395ba |
| 15 | 112dc95360 |
| hex | 9a9edb180 |
41505632640 has 192 divisors, whose sum is σ = 144803655360. Its totient is φ = 10953916416.
The previous prime is 41505632611. The next prime is 41505632669. The reversal of 41505632640 is 4623650514.
41505632640 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 5 + 6 + 3 + 2 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (41505632611) and next prime (41505632669).
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 41505632595 and 41505632604.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 521577 + ... + 595863.
It is an arithmetic number, because the mean of its divisors is an integer number (754185705).
Almost surely, 241505632640 is an apocalyptic number.
41505632640 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 41505632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72401827680).
41505632640 is an abundant number, since it is smaller than the sum of its proper divisors (103298022720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41505632640 is a wasteful number, since it uses less digits than its factorization.
41505632640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74409 (or 74394 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The spelling of 41505632640 in words is "forty-one billion, five hundred five million, six hundred thirty-two thousand, six hundred forty".
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