Base | Representation |
---|---|
bin | 111111011000111… |
… | …010001000000000 |
3 | 2202010011002201000 |
4 | 333120322020000 |
5 | 4134223303034 |
6 | 253310212000 |
7 | 35232360006 |
oct | 7730721000 |
9 | 2663132630 |
10 | 1063494144 |
11 | 4a6350989 |
12 | 2581b4000 |
13 | 13c43b69b |
14 | a1358a76 |
15 | 63574599 |
hex | 3f63a200 |
1063494144 has 160 divisors (see below), whose sum is σ = 3314520000. Its totient is φ = 335757312.
The previous prime is 1063494139. The next prime is 1063494167. The reversal of 1063494144 is 4414943601.
It is a happy number.
1063494144 is a `hidden beast` number, since 1 + 0 + 634 + 9 + 4 + 14 + 4 = 666.
It is a super-2 number, since 2×10634941442 = 2262039588644585472, 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 = 1063494099 and 1063494108.
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 15 ways as a sum of consecutive naturals, for example, 260632 + ... + 264680.
It is an arithmetic number, because the mean of its divisors is an integer number (20715750).
Almost surely, 21063494144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1063494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657260000).
1063494144 is an abundant number, since it is smaller than the sum of its proper divisors (2251025856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1063494144 is an equidigital number, since it uses as much as digits as its factorization.
1063494144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4095 (or 4073 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 1063494144 is about 32611.2579334193. The cubic root of 1063494144 is about 1020.7319314026.
The spelling of 1063494144 in words is "one billion, sixty-three million, four hundred ninety-four thousand, one hundred forty-four".
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