| Base | Representation |
|---|---|
| bin | 10010111011010100010010… |
| … | …10010101000011000000000 |
| 3 | 12110100212212202011210102000 |
| 4 | 21131222021102220120000 |
| 5 | 20423402324313221200 |
| 6 | 224304113244424000 |
| 7 | 11523661456506243 |
| oct | 1135521122503000 |
| 9 | 173325782153360 |
| 10 | 41620536460800 |
| 11 | 12297196872510 |
| 12 | 4802409548000 |
| 13 | 1a2ba5207814b |
| 14 | a3c63241525a |
| 15 | 4c29a41d8300 |
| hex | 25da894a8600 |
41620536460800 has 480 divisors, whose sum is σ = 166655579967360. Its totient is φ = 10089826099200.
The previous prime is 41620536460747. The next prime is 41620536460807. The reversal of 41620536460800 is 806463502614.
41620536460800 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 0 + 5 + 36 + 4 + 608 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41620536460807) 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 47 ways as a sum of consecutive naturals, for example, 1672482 + ... + 9275681.
It is an arithmetic number, because the mean of its divisors is an integer number (347199124932).
Almost surely, 241620536460800 is an apocalyptic number.
41620536460800 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 41620536460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83327789983680).
41620536460800 is an abundant number, since it is smaller than the sum of its proper divisors (125035043506560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41620536460800 is a wasteful number, since it uses less digits than its factorization.
41620536460800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10948211 (or 10948184 counting only the distinct ones).
The product of its (nonzero) digits is 829440, while the sum is 45.
The spelling of 41620536460800 in words is "forty-one trillion, six hundred twenty billion, five hundred thirty-six million, four hundred sixty thousand, eight hundred".
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