Base | Representation |
---|---|
bin | 10001011000001111… |
… | …00110111001100000 |
3 | 220002020021112100020 |
4 | 20230013212321200 |
5 | 123102003021212 |
6 | 4141452553440 |
7 | 450131523534 |
oct | 105407467140 |
9 | 26066245306 |
10 | 9330126432 |
11 | 3a586820a0 |
12 | 1984782880 |
13 | b58c98793 |
14 | 6471cbbc4 |
15 | 39918bd8c |
hex | 22c1e6e60 |
9330126432 has 96 divisors (see below), whose sum is σ = 26857111680. Its totient is φ = 2812600320.
The previous prime is 9330126431. The next prime is 9330126461. The reversal of 9330126432 is 2346210339.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 9330126393 and 9330126402.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9330126431) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180919 + ... + 226697.
It is an arithmetic number, because the mean of its divisors is an integer number (279761580).
Almost surely, 29330126432 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 9330126432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13428555840).
9330126432 is an abundant number, since it is smaller than the sum of its proper divisors (17526985248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9330126432 is a wasteful number, since it uses less digits than its factorization.
9330126432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 45996 (or 45988 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 33.
The square root of 9330126432 is about 96592.5795907739. The cubic root of 9330126432 is about 2105.2120294281.
The spelling of 9330126432 in words is "nine billion, three hundred thirty million, one hundred twenty-six thousand, four hundred thirty-two".
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