| Base | Representation |
|---|---|
| bin | 101110100110110010100… |
| … | …0111111010001000000000 |
| 3 | 211200100200210210121000100 |
| 4 | 1131031211013322020000 |
| 5 | 1314421422124411430 |
| 6 | 21342350501122400 |
| 7 | 1230532040350206 |
| oct | 135154507721000 |
| 9 | 24610623717010 |
| 10 | 6405492810240 |
| 11 | 204a610778447 |
| 12 | 8755166b9400 |
| 13 | 37605c9653c4 |
| 14 | 182055697076 |
| 15 | b194cbd0960 |
| hex | 5d3651fa200 |
6405492810240 has 480 divisors, whose sum is σ = 23619000380976. Its totient is φ = 1598753341440.
The previous prime is 6405492810221. The next prime is 6405492810247. The reversal of 6405492810240 is 420182945046.
It is a happy number.
6405492810240 is a `hidden beast` number, since 6 + 4 + 0 + 549 + 2 + 81 + 0 + 24 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 144047575296 + 6261445234944 = 379536^2 + 2502288^2 .
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 not an unprimeable number, because it can be changed into a prime (6405492810247) 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 47 ways as a sum of consecutive naturals, for example, 70848904 + ... + 70939256.
Almost surely, 26405492810240 is an apocalyptic number.
6405492810240 is a gapful number since it is divisible by the number (60) 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 6405492810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11809500190488).
6405492810240 is an abundant number, since it is smaller than the sum of its proper divisors (17213507570736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6405492810240 is a wasteful number, since it uses less digits than its factorization.
6405492810240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90580 (or 90561 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 6405492810240 in words is "six trillion, four hundred five billion, four hundred ninety-two million, eight hundred ten thousand, two hundred forty".
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