Base | Representation |
---|---|
bin | 10010101101010111… |
… | …01110100011010000 |
3 | 221221000000011022000 |
4 | 21112223232203100 |
5 | 131032311104112 |
6 | 4340402514000 |
7 | 503622420543 |
oct | 112653564320 |
9 | 27830004260 |
10 | 10044238032 |
11 | 429478a774 |
12 | 1b43965900 |
13 | c40c0901a |
14 | 6b3d9a85a |
15 | 3dbbea7dc |
hex | 256aee8d0 |
10044238032 has 80 divisors (see below), whose sum is σ = 28909697280. Its totient is φ = 3338903808.
The previous prime is 10044238019. The next prime is 10044238079. The reversal of 10044238032 is 23083244001.
10044238032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 10044237987 and 10044238005.
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 15 ways as a sum of consecutive naturals, for example, 126868 + ... + 190220.
It is an arithmetic number, because the mean of its divisors is an integer number (361371216).
Almost surely, 210044238032 is an apocalyptic number.
10044238032 is a gapful number since it is divisible by the number (12) 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 10044238032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14454848640).
10044238032 is an abundant number, since it is smaller than the sum of its proper divisors (18865459248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10044238032 is a wasteful number, since it uses less digits than its factorization.
10044238032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63737 (or 63725 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The spelling of 10044238032 in words is "ten billion, forty-four million, two hundred thirty-eight thousand, thirty-two".
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