Base | Representation |
---|---|
bin | 1111001000110101… |
… | …1101111010000000 |
3 | 101111012102010002000 |
4 | 3302031131322000 |
5 | 31310241213030 |
6 | 1511121224000 |
7 | 202462112556 |
oct | 36215357200 |
9 | 11435363060 |
10 | 4063616640 |
11 | 17a5895366 |
12 | 954a92000 |
13 | 4c9b668b5 |
14 | 2a7993bd6 |
15 | 18bb3e860 |
hex | f235de80 |
4063616640 has 256 divisors, whose sum is σ = 15150672000. Its totient is φ = 1026514944.
The previous prime is 4063616639. The next prime is 4063616647. The reversal of 4063616640 is 466163604.
4063616640 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 6 + 1 + 6 + 640 = 666.
4063616640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 4063616595 and 4063616604.
It is not an unprimeable number, because it can be changed into a prime (4063616647) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322132 + ... + 334508.
Almost surely, 24063616640 is an apocalyptic number.
4063616640 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 4063616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7575336000).
4063616640 is an abundant number, since it is smaller than the sum of its proper divisors (11087055360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4063616640 is a wasteful number, since it uses less digits than its factorization.
4063616640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12424 (or 12406 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The square root of 4063616640 is about 63746.5029629077. The cubic root of 4063616640 is about 1595.7722553656.
It can be divided in two parts, 4063616 and 640, that added together give a square (4064256 = 20162).
The spelling of 4063616640 in words is "four billion, sixty-three million, six hundred sixteen thousand, six hundred forty".
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