| Base | Representation |
|---|---|
| bin | 10011100101010100… |
| … | …00111100100000000 |
| 3 | 1000010201011010000200 |
| 4 | 21302222013210000 |
| 5 | 133012434000430 |
| 6 | 4455130245200 |
| 7 | 521351640414 |
| oct | 116252074400 |
| 9 | 30121133020 |
| 10 | 10513578240 |
| 11 | 4505705a40 |
| 12 | 2054b86800 |
| 13 | cb7217a19 |
| 14 | 71a450d44 |
| 15 | 418009460 |
| hex | 272a87900 |
10513578240 has 432 divisors, whose sum is σ = 40004677440. Its totient is φ = 2528133120.
The previous prime is 10513578233. The next prime is 10513578259. The reversal of 10513578240 is 4287531501.
10513578240 is a `hidden beast` number, since 10 + 51 + 3 + 578 + 24 + 0 = 666.
It is a super-2 number, since 2×105135782402 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10513578195 and 10513578204.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20655106 + ... + 20655614.
It is an arithmetic number, because the mean of its divisors is an integer number (92603420).
Almost surely, 210513578240 is an apocalyptic number.
10513578240 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 10513578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20002338720).
10513578240 is an abundant number, since it is smaller than the sum of its proper divisors (29491099200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10513578240 is a wasteful number, since it uses less digits than its factorization.
10513578240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 710 (or 693 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 36.
The spelling of 10513578240 in words is "ten billion, five hundred thirteen million, five hundred seventy-eight thousand, two hundred forty".
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