Base | Representation |
---|---|
bin | 10011110000110001… |
… | …10101010101101100 |
3 | 1000101102001010121200 |
4 | 21320120311111230 |
5 | 133212041213234 |
6 | 4512442525500 |
7 | 523630023264 |
oct | 117030652554 |
9 | 30342033550 |
10 | 10609710444 |
11 | 45549a5543 |
12 | 2081206890 |
13 | 1001105b98 |
14 | 7291167a4 |
15 | 421697d99 |
hex | 27863556c |
10609710444 has 72 divisors (see below), whose sum is σ = 27723171840. Its totient is φ = 3417660000.
The previous prime is 10609710439. The next prime is 10609710473. The reversal of 10609710444 is 44401790601.
10609710444 is a `hidden beast` number, since 1 + 0 + 609 + 7 + 1 + 0 + 4 + 44 = 666.
10609710444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×106097104442 (a number of 21 digits) 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 = 10609710399 and 10609710408.
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 23 ways as a sum of consecutive naturals, for example, 831787 + ... + 844445.
Almost surely, 210609710444 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 10609710444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13861585920).
10609710444 is an abundant number, since it is smaller than the sum of its proper divisors (17113461396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10609710444 is a wasteful number, since it uses less digits than its factorization.
10609710444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13451 (or 13446 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The spelling of 10609710444 in words is "ten billion, six hundred nine million, seven hundred ten thousand, four hundred forty-four".
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