Base | Representation |
---|---|
bin | 1011110011010100… |
… | …00110000111100100 |
3 | 121100120101110111100 |
4 | 11321222012013210 |
5 | 100434011424130 |
6 | 2524415240100 |
7 | 313004332656 |
oct | 57152060744 |
9 | 17316343440 |
10 | 6336045540 |
11 | 2761594880 |
12 | 1289b19030 |
13 | 79c8a7496 |
14 | 4416c66d6 |
15 | 2713b6c60 |
hex | 179a861e4 |
6336045540 has 144 divisors (see below), whose sum is σ = 21016195200. Its totient is φ = 1532375040.
The previous prime is 6336045533. The next prime is 6336045559. The reversal of 6336045540 is 455406336.
6336045540 is a `hidden beast` number, since 6 + 3 + 3 + 604 + 5 + 5 + 40 = 666.
It is a super-3 number, since 3×63360455403 (a number of 30 digits) contains 333 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 = 6336045495 and 6336045504.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885457 + ... + 892583.
It is an arithmetic number, because the mean of its divisors is an integer number (145945800).
Almost surely, 26336045540 is an apocalyptic number.
6336045540 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 6336045540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10508097600).
6336045540 is an abundant number, since it is smaller than the sum of its proper divisors (14680149660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6336045540 is a wasteful number, since it uses less digits than its factorization.
6336045540 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7602 (or 7597 counting only the distinct ones).
The product of its (nonzero) digits is 129600, while the sum is 36.
The square root of 6336045540 is about 79599.2810269038. The cubic root of 6336045540 is about 1850.4304369748.
It can be divided in two parts, 63360 and 45540, that added together give a square (108900 = 3302).
The spelling of 6336045540 in words is "six billion, three hundred thirty-six million, forty-five thousand, five hundred forty".
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