Base | Representation |
---|---|
bin | 10010100110110110… |
… | …10101100100001110 |
3 | 221210012012202101000 |
4 | 21103123111210032 |
5 | 130424320002432 |
6 | 4331132001130 |
7 | 502360165440 |
oct | 112333254416 |
9 | 27705182330 |
10 | 9989609742 |
11 | 4266968722 |
12 | 1b296001a6 |
13 | c327c00a8 |
14 | 6aaa1a490 |
15 | 3d700957c |
hex | 2536d590e |
9989609742 has 128 divisors (see below), whose sum is σ = 25643520000. Its totient is φ = 2823660000.
The previous prime is 9989609723. The next prime is 9989609771. The reversal of 9989609742 is 2479069899.
9989609742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×99896097422 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 9989609742.
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 20019009 + ... + 20019507.
It is an arithmetic number, because the mean of its divisors is an integer number (200340000).
Almost surely, 29989609742 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9989609742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821760000).
9989609742 is an abundant number, since it is smaller than the sum of its proper divisors (15653910258).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9989609742 is a wasteful number, since it uses less digits than its factorization.
9989609742 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 979 (or 973 counting only the distinct ones).
The product of its (nonzero) digits is 17635968, while the sum is 63.
The square root of 9989609742 is about 99948.0352083021. The cubic root of 9989609742 is about 2153.6882603765.
The spelling of 9989609742 in words is "nine billion, nine hundred eighty-nine million, six hundred nine thousand, seven hundred forty-two".
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