| Base | Representation |
|---|---|
| bin | 10010110001101100… |
| … | …01110101111100000 |
| 3 | 222000112022210010200 |
| 4 | 21120312032233200 |
| 5 | 131121104431020 |
| 6 | 4344141025200 |
| 7 | 504543140145 |
| oct | 113066165740 |
| 9 | 28015283120 |
| 10 | 10080545760 |
| 11 | 430322925a |
| 12 | 1b53b55200 |
| 13 | c485ac09c |
| 14 | 6b8b2c3cc |
| 15 | 3deebd590 |
| hex | 258d8ebe0 |
10080545760 has 288 divisors, whose sum is σ = 38342172960. Its totient is φ = 2396749824.
The previous prime is 10080545747. The next prime is 10080545767. The reversal of 10080545760 is 6754508001.
10080545760 is a `hidden beast` number, since 1 + 0 + 0 + 80 + 5 + 4 + 576 + 0 = 666.
10080545760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10080545767) 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 47 ways as a sum of consecutive naturals, for example, 454284 + ... + 475956.
It is an arithmetic number, because the mean of its divisors is an integer number (133132545).
Almost surely, 210080545760 is an apocalyptic number.
10080545760 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 10080545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171086480).
10080545760 is an abundant number, since it is smaller than the sum of its proper divisors (28261627200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10080545760 is a wasteful number, since it uses less digits than its factorization.
10080545760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21730 (or 21719 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 36.
The spelling of 10080545760 in words is "ten billion, eighty million, five hundred forty-five thousand, seven hundred sixty".
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