Base | Representation |
---|---|
bin | 10010000111111010… |
… | …11110110011001000 |
3 | 221010002221120020000 |
4 | 21003331132303020 |
5 | 124411403000000 |
6 | 4245302203000 |
7 | 463056461241 |
oct | 110375366310 |
9 | 27102846200 |
10 | 9730125000 |
11 | 4143446a22 |
12 | 1a76723460 |
13 | bc0b0951b |
14 | 684391cc8 |
15 | 3be350000 |
hex | 243f5ecc8 |
9730125000 has 420 divisors, whose sum is σ = 35200623645. Its totient is φ = 2511000000.
The previous prime is 9730124933. The next prime is 9730125001. The reversal of 9730125000 is 5210379.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 4 ways, for example, as 1659258756 + 8070866244 = 40734^2 + 89838^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=69750.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (9730125001) by changing a digit.
It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 313874985 + ... + 313875015.
Almost surely, 29730125000 is an apocalyptic number.
9730125000 is a gapful number since it is divisible by the number (90) 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 9730125000
9730125000 is an abundant number, since it is smaller than the sum of its proper divisors (25470498645).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9730125000 is an frugal number, since it uses more digits than its factorization.
9730125000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 110 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 1890, while the sum is 27.
The square root of 9730125000 is about 98641.3959755234. The cubic root of 9730125000 is about 2134.8767449829.
Adding to 9730125000 its reverse (5210379), we get a palindrome (9735335379).
The spelling of 9730125000 in words is "nine billion, seven hundred thirty million, one hundred twenty-five thousand".
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