| Base | Representation |
|---|---|
| bin | 10011100001010100… |
| … | …01000001100010000 |
| 3 | 1000001101000111112100 |
| 4 | 21300222020030100 |
| 5 | 132430341321014 |
| 6 | 4451531200400 |
| 7 | 520463516532 |
| oct | 116052101420 |
| 9 | 30041014470 |
| 10 | 10480026384 |
| 11 | 4498779a33 |
| 12 | 20458a6100 |
| 13 | cb029b159 |
| 14 | 715bd9852 |
| 15 | 4150cd009 |
| hex | 270a88310 |
10480026384 has 135 divisors (see below), whose sum is σ = 31023516693. Its totient is φ = 3302111232.
The previous prime is 10480026353. The next prime is 10480026407. The reversal of 10480026384 is 48362008401.
The square root of 10480026384 is 102372.
It is a perfect power (a square), and thus also a powerful number.
10480026384 is a `hidden beast` number, since 10 + 4 + 8 + 0 + 0 + 2 + 638 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 6404480784 + 4075545600 = 80028^2 + 63840^2 .
It is a super-2 number, since 2×104800263842 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23340592 + ... + 23341040.
Almost surely, 210480026384 is an apocalyptic number.
10480026384 is the 102372-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10480026384
10480026384 is an abundant number, since it is smaller than the sum of its proper divisors (20543490309).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10480026384 is an equidigital number, since it uses as much as digits as its factorization.
10480026384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 950 (or 473 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
Multiplying 10480026384 by its sum of digits (36), we get a square (377280949824 = 6142322).
10480026384 divided by its sum of digits (36) gives a square (291111844 = 170622).
Multiplying 10480026384 by its product of nonzero digits (36864), we get a square (386335692619776 = 196554242).
The spelling of 10480026384 in words is "ten billion, four hundred eighty million, twenty-six thousand, three hundred eighty-four".
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