Base | Representation |
---|---|
bin | 1011111100000100… |
… | …01010010100000000 |
3 | 121112200112110101000 |
4 | 11332002022110000 |
5 | 101111310304130 |
6 | 2540001012000 |
7 | 314555352111 |
oct | 57602122400 |
9 | 17480473330 |
10 | 6409463040 |
11 | 2799a7a4a2 |
12 | 12aa624000 |
13 | 7b1b716a6 |
14 | 44b358208 |
15 | 277a6a260 |
hex | 17e08a500 |
6409463040 has 576 divisors, whose sum is σ = 24606489600. Its totient is φ = 1574608896.
The previous prime is 6409463003. The next prime is 6409463057. The reversal of 6409463040 is 403649046.
6409463040 is a `hidden beast` number, since 640 + 9 + 4 + 6 + 3 + 0 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×64094630402 = 82162432922252083200, which contains 22 as substring.
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 = 6409462986 and 6409463004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28235407 + ... + 28235633.
It is an arithmetic number, because the mean of its divisors is an integer number (42719600).
Almost surely, 26409463040 is an apocalyptic number.
6409463040 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 6409463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303244800).
6409463040 is an abundant number, since it is smaller than the sum of its proper divisors (18197026560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6409463040 is a wasteful number, since it uses less digits than its factorization.
6409463040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 319 (or 299 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The square root of 6409463040 is about 80059.1221535685. The cubic root of 6409463040 is about 1857.5501565725.
The spelling of 6409463040 in words is "six billion, four hundred nine million, four hundred sixty-three thousand, forty".
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