Base | Representation |
---|---|
bin | 10011011011100111… |
… | …11000000010011010 |
3 | 222221001010012200000 |
4 | 21231303320002122 |
5 | 132331124000020 |
6 | 4443103153430 |
7 | 516343443030 |
oct | 115563700232 |
9 | 28831105600 |
10 | 10432250010 |
11 | 4473807926 |
12 | 20318a5876 |
13 | ca3410c00 |
14 | 70d720550 |
15 | 410ce2090 |
hex | 26dcf809a |
10432250010 has 576 divisors, whose sum is σ = 36833771520. Its totient is φ = 2074325760.
The previous prime is 10432249981. The next prime is 10432250041. The reversal of 10432250010 is 1005223401.
10432250010 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 2×104322500102 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
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 287 ways as a sum of consecutive naturals, for example, 54619015 + ... + 54619205.
It is an arithmetic number, because the mean of its divisors is an integer number (63947520).
Almost surely, 210432250010 is an apocalyptic number.
10432250010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10432250010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416885760).
10432250010 is an abundant number, since it is smaller than the sum of its proper divisors (26401521510).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10432250010 is a wasteful number, since it uses less digits than its factorization.
10432250010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 265 (or 240 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
Adding to 10432250010 its reverse (1005223401), we get a palindrome (11437473411).
The spelling of 10432250010 in words is "ten billion, four hundred thirty-two million, two hundred fifty thousand, ten".
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