Base | Representation |
---|---|
bin | 10011011111000010… |
… | …01011111001100000 |
3 | 1000000001001001000000 |
4 | 21233201023321200 |
5 | 132410442430211 |
6 | 4450005300000 |
7 | 520142140320 |
oct | 115741137140 |
9 | 30001031000 |
10 | 10460905056 |
11 | 44889a9888 |
12 | 203b404600 |
13 | ca9334964 |
14 | 71345d280 |
15 | 4135a2656 |
hex | 26f84be60 |
10460905056 has 504 divisors, whose sum is σ = 37299543120. Its totient is φ = 2824367616.
The previous prime is 10460905033. The next prime is 10460905073. The reversal of 10460905056 is 65050906401.
10460905056 = 54742 + 54752 + ... + 58022.
10460905056 is a `hidden beast` number, since 1 + 0 + 4 + 60 + 90 + 505 + 6 = 666.
10460905056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (504).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 10460905056.
It is a congruent number.
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 83 ways as a sum of consecutive naturals, for example, 222572425 + ... + 222572471.
It is an arithmetic number, because the mean of its divisors is an integer number (74007030).
Almost surely, 210460905056 is an apocalyptic number.
10460905056 is a gapful number since it is divisible by the number (16) 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 10460905056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649771560).
10460905056 is an abundant number, since it is smaller than the sum of its proper divisors (26838638064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10460905056 is an frugal number, since it uses more digits than its factorization.
10460905056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 158 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 32400, while the sum is 36.
The spelling of 10460905056 in words is "ten billion, four hundred sixty million, nine hundred five thousand, fifty-six".
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