Base | Representation |
---|---|
bin | 10010101100111000… |
… | …11101001000011110 |
3 | 221220201110202112000 |
4 | 21112130131020132 |
5 | 131030300001101 |
6 | 4340141023130 |
7 | 503543404530 |
oct | 112634351036 |
9 | 27821422460 |
10 | 10040234526 |
11 | 42924a5893 |
12 | 1b42554aa6 |
13 | c4013699a |
14 | 6b3637850 |
15 | 3db6a9486 |
hex | 25671d21e |
10040234526 has 64 divisors (see below), whose sum is σ = 25551836160. Its totient is φ = 2862695520.
The previous prime is 10040234521. The next prime is 10040234537. The reversal of 10040234526 is 62543204001.
10040234526 is a `hidden beast` number, since 100 + 4 + 0 + 2 + 34 + 526 = 666.
10040234526 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-3 number, since 3×100402345263 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 10040234526.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10040234521) by changing a digit.
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, 156816 + ... + 211356.
It is an arithmetic number, because the mean of its divisors is an integer number (399247440).
Almost surely, 210040234526 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10040234526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12775918080).
10040234526 is an abundant number, since it is smaller than the sum of its proper divisors (15511601634).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10040234526 is a wasteful number, since it uses less digits than its factorization.
10040234526 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55046 (or 55040 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
Adding to 10040234526 its reverse (62543204001), we get a palindrome (72583438527).
The spelling of 10040234526 in words is "ten billion, forty million, two hundred thirty-four thousand, five hundred twenty-six".
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