| Base | Representation |
|---|---|
| bin | 10011010010011000… |
| … | …01000111100100000 |
| 3 | 222201122020111212000 |
| 4 | 21221030020330200 |
| 5 | 132201302142030 |
| 6 | 4431253404000 |
| 7 | 514412464401 |
| oct | 115114107440 |
| 9 | 28648214760 |
| 10 | 10354724640 |
| 11 | 4433a76977 |
| 12 | 200b939600 |
| 13 | c90339000 |
| 14 | 7032dd9a8 |
| 15 | 4090cb860 |
| hex | 269308f20 |
10354724640 has 384 divisors, whose sum is σ = 39296275200. Its totient is φ = 2546519040.
The previous prime is 10354724623. The next prime is 10354724647. The reversal of 10354724640 is 4642745301.
10354724640 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 4 + 7 + 2 + 4 + 640 = 666.
It is a super-3 number, since 3×103547246403 (a number of 31 digits) contains 333 as substring.
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 = 10354724595 and 10354724604.
It is not an unprimeable number, because it can be changed into a prime (10354724647) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 9490495 + ... + 9491585.
It is an arithmetic number, because the mean of its divisors is an integer number (102334050).
Almost surely, 210354724640 is an apocalyptic number.
10354724640 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 10354724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648137600).
10354724640 is an abundant number, since it is smaller than the sum of its proper divisors (28941550560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10354724640 is a wasteful number, since it uses less digits than its factorization.
10354724640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1154 (or 1114 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
The spelling of 10354724640 in words is "ten billion, three hundred fifty-four million, seven hundred twenty-four thousand, six hundred forty".
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