| Base | Representation |
|---|---|
| bin | 10001111101110101… |
| … | …01011101000010000 |
| 3 | 220220012201102110102 |
| 4 | 20332322223220100 |
| 5 | 124223222130130 |
| 6 | 4233040351532 |
| 7 | 461011303643 |
| oct | 107672535020 |
| 9 | 26805642412 |
| 10 | 9645505040 |
| 11 | 40aa6aa776 |
| 12 | 1a523155a8 |
| 13 | ba941c342 |
| 14 | 677045a5a |
| 15 | 3b6bd7645 |
| hex | 23eeaba10 |
9645505040 has 80 divisors (see below), whose sum is σ = 23835676800. Its totient is φ = 3619593216.
The previous prime is 9645505027. The next prime is 9645505043. The reversal of 9645505040 is 405055469.
9645505040 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 (80).
It is a Harshad number since it is a multiple of its sum of digits (38).
It is a junction number, because it is equal to n+sod(n) for n = 9645504985 and 9645505003.
It is not an unprimeable number, because it can be changed into a prime (9645505043) 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 15 ways as a sum of consecutive naturals, for example, 125756 + ... + 187364.
It is an arithmetic number, because the mean of its divisors is an integer number (297945960).
Almost surely, 29645505040 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9645505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11917838400).
9645505040 is an abundant number, since it is smaller than the sum of its proper divisors (14190171760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9645505040 is a wasteful number, since it uses less digits than its factorization.
9645505040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61744 (or 61738 counting only the distinct ones).
The product of its (nonzero) digits is 108000, while the sum is 38.
The square root of 9645505040 is about 98211.5321130874. The cubic root of 9645505040 is about 2128.6699242357.
The spelling of 9645505040 in words is "nine billion, six hundred forty-five million, five hundred five thousand, forty".
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