| Base | Representation |
|---|---|
| bin | 1100000010010011… |
| … | …10101100111000000 |
| 3 | 121200100000210211200 |
| 4 | 12001021311213000 |
| 5 | 101213210311130 |
| 6 | 2545110541200 |
| 7 | 316062311403 |
| oct | 60111654700 |
| 9 | 17610023750 |
| 10 | 6461807040 |
| 11 | 28165812a7 |
| 12 | 1304067800 |
| 13 | 7bc96a980 |
| 14 | 4542a1d3a |
| 15 | 27c459760 |
| hex | 1812759c0 |
6461807040 has 336 divisors, whose sum is σ = 24174285408. Its totient is φ = 1574756352.
The previous prime is 6461806979. The next prime is 6461807081. The reversal of 6461807040 is 407081646.
6461807040 is a `hidden beast` number, since 646 + 1 + 8 + 0 + 7 + 0 + 4 + 0 = 666.
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 = 6461806986 and 6461807004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4005274 + ... + 4006886.
It is an arithmetic number, because the mean of its divisors is an integer number (71947278).
Almost surely, 26461807040 is an apocalyptic number.
6461807040 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 6461807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12087142704).
6461807040 is an abundant number, since it is smaller than the sum of its proper divisors (17712478368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6461807040 is a wasteful number, since it uses less digits than its factorization.
6461807040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1756 (or 1743 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 6461807040 is about 80385.3658323454. The cubic root of 6461807040 is about 1862.5931226205.
Adding to 6461807040 its reverse (407081646), we get a palindrome (6868888686).
The spelling of 6461807040 in words is "six billion, four hundred sixty-one million, eight hundred seven thousand, forty".
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