Base | Representation |
---|---|
bin | 10010001001000110… |
… | …01010111011000000 |
3 | 221010210112112010000 |
4 | 21010203022323000 |
5 | 124421420130211 |
6 | 4250254040000 |
7 | 463236451125 |
oct | 110443127300 |
9 | 27123475100 |
10 | 9740005056 |
11 | 4148a84a61 |
12 | 1a79aa9000 |
13 | bc2b88602 |
14 | 68580474c |
15 | 3c0152656 |
hex | 2448caec0 |
9740005056 has 140 divisors (see below), whose sum is σ = 28968393168. Its totient is φ = 3235880448.
The previous prime is 9740005049. The next prime is 9740005091. The reversal of 9740005056 is 6505000479.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 9740005056.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 1640365 + ... + 1646291.
Almost surely, 29740005056 is an apocalyptic number.
9740005056 is a gapful number since it is divisible by the number (96) 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 9740005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484196584).
9740005056 is an abundant number, since it is smaller than the sum of its proper divisors (19228388112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9740005056 is a wasteful number, since it uses less digits than its factorization.
9740005056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6268 (or 6249 counting only the distinct ones).
The product of its (nonzero) digits is 37800, while the sum is 36.
The square root of 9740005056 is about 98691.4639469899. The cubic root of 9740005056 is about 2135.5990915296.
The spelling of 9740005056 in words is "nine billion, seven hundred forty million, five thousand, fifty-six".
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