Base | Representation |
---|---|
bin | 10011010100011101… |
… | …11110101000011000 |
3 | 222202212012200200202 |
4 | 21222032332220120 |
5 | 132220243333130 |
6 | 4433121121332 |
7 | 515014431242 |
oct | 115216765030 |
9 | 28685180622 |
10 | 10372246040 |
11 | 4442953a72 |
12 | 2015789248 |
13 | c93b621c0 |
14 | 705781092 |
15 | 40a8dd145 |
hex | 26a3bea18 |
10372246040 has 128 divisors (see below), whose sum is σ = 26668776960. Its totient is φ = 3596673024.
The previous prime is 10372246019. The next prime is 10372246067. The reversal of 10372246040 is 4064227301.
10372246040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 10372245994 and 10372246012.
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 31 ways as a sum of consecutive naturals, for example, 5364914 + ... + 5366846.
It is an arithmetic number, because the mean of its divisors is an integer number (208349820).
Almost surely, 210372246040 is an apocalyptic number.
10372246040 is a gapful number since it is divisible by the number (10) 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 10372246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334388480).
10372246040 is an abundant number, since it is smaller than the sum of its proper divisors (16296530920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10372246040 is a wasteful number, since it uses less digits than its factorization.
10372246040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2581 (or 2577 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 29.
The spelling of 10372246040 in words is "ten billion, three hundred seventy-two million, two hundred forty-six thousand, forty".
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