| Base | Representation |
|---|---|
| bin | 111010101011011101… |
| … | …010011101000000000 |
| 3 | 20000122000010222000000 |
| 4 | 322223131103220000 |
| 5 | 2013014032104030 |
| 6 | 44540012000000 |
| 7 | 4360231154100 |
| oct | 725335235000 |
| 9 | 200560128000 |
| 10 | 63006128640 |
| 11 | 247a2353aa4 |
| 12 | 10264760000 |
| 13 | 5c314a9130 |
| 14 | 3099c13200 |
| 15 | 198b607860 |
| hex | eab753a00 |
63006128640 has 1680 divisors, whose sum is σ = 289097074728. Its totient is φ = 13042778112.
The previous prime is 63006128621. The next prime is 63006128681. The reversal of 63006128640 is 4682160036.
63006128640 is a `hidden beast` number, since 6 + 3 + 0 + 0 + 6 + 1 + 2 + 8 + 640 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 46097807616 + 16908321024 = 214704^2 + 130032^2 .
It is a tau number, because it is divible by the number of its divisors (1680).
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 = 63006128595 and 63006128604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1188794854 + ... + 1188794906.
Almost surely, 263006128640 is an apocalyptic number.
63006128640 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 63006128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144548537364).
63006128640 is an abundant number, since it is smaller than the sum of its proper divisors (226090946088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63006128640 is an equidigital number, since it uses as much as digits as its factorization.
63006128640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 83 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
Adding to 63006128640 its reverse (4682160036), we get a palindrome (67688288676).
The spelling of 63006128640 in words is "sixty-three billion, six million, one hundred twenty-eight thousand, six hundred forty".
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