Base | Representation |
---|---|
bin | 10010001010001000… |
… | …10101011101010000 |
3 | 221011101220012220110 |
4 | 21011010111131100 |
5 | 124431131331320 |
6 | 4251204241320 |
7 | 463403400600 |
oct | 110504253520 |
9 | 27141805813 |
10 | 9748698960 |
11 | 4152982900 |
12 | 1a809a0240 |
13 | bc4910830 |
14 | 686a28c00 |
15 | 3c0cbd5e0 |
hex | 245115750 |
9748698960 has 1440 divisors, whose sum is σ = 45483088896. Its totient is φ = 1703116800.
The previous prime is 9748698959. The next prime is 9748699007. The reversal of 9748698960 is 698968479.
It is a Harshad number since it is a multiple of its sum of digits (66).
It is a junction number, because it is equal to n+sod(n) for n = 9748698891 and 9748698900.
It is a congruent number.
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 287 ways as a sum of consecutive naturals, for example, 314474145 + ... + 314474175.
Almost surely, 29748698960 is an apocalyptic number.
It is a pronic number, being equal to 98735×98736.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9748698960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22741544448).
9748698960 is an abundant number, since it is smaller than the sum of its proper divisors (35734389936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9748698960 is a wasteful number, since it uses less digits than its factorization.
9748698960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 47029248, while the sum is 66.
The square root of 9748698960 is about 98735.4999987340. The cubic root of 9748698960 is about 2136.2343126929.
The spelling of 9748698960 in words is "nine billion, seven hundred forty-eight million, six hundred ninety-eight thousand, nine hundred sixty".
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