| Base | Representation |
|---|---|
| bin | 10010111011101100… |
| … | …10001001011110000 |
| 3 | 222020101012010220220 |
| 4 | 21131312101023300 |
| 5 | 131304044114330 |
| 6 | 4400335133040 |
| 7 | 506612221140 |
| oct | 113566211360 |
| 9 | 28211163826 |
| 10 | 10164441840 |
| 11 | 4346620663 |
| 12 | 1b78074180 |
| 13 | c5caa4937 |
| 14 | 6c5d2a920 |
| 15 | 3e7541710 |
| hex | 25dd912f0 |
10164441840 has 320 divisors, whose sum is σ = 37146193920. Its totient is φ = 2251100160.
The previous prime is 10164441823. The next prime is 10164441841. The reversal of 10164441840 is 4814446101.
It is a happy number.
10164441840 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-4 number, since 4×101644418404 (a number of 41 digits) contains 4444 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10164441841) 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 63 ways as a sum of consecutive naturals, for example, 8606050 + ... + 8607230.
It is an arithmetic number, because the mean of its divisors is an integer number (116081856).
Almost surely, 210164441840 is an apocalyptic number.
10164441840 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 10164441840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18573096960).
10164441840 is an abundant number, since it is smaller than the sum of its proper divisors (26981752080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10164441840 is a wasteful number, since it uses less digits than its factorization.
10164441840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 33.
Adding to 10164441840 its reverse (4814446101), we get a palindrome (14978887941).
The spelling of 10164441840 in words is "ten billion, one hundred sixty-four million, four hundred forty-one thousand, eight hundred forty".
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