Base | Representation |
---|---|
bin | 10010010111011101… |
… | …10010001100010000 |
3 | 221110012020210101100 |
4 | 21023232302030100 |
5 | 130143241140000 |
6 | 4310240304400 |
7 | 466231532154 |
oct | 111356621420 |
9 | 27405223340 |
10 | 9860490000 |
11 | 41aaa98099 |
12 | 1ab2312100 |
13 | c11b2218a |
14 | 697809064 |
15 | 3caa01a00 |
hex | 24bbb2310 |
9860490000 has 225 divisors, whose sum is σ = 34588052499. Its totient is φ = 2621520000.
The previous prime is 9860489959. The next prime is 9860490001. The reversal of 9860490000 is 940689.
The square root of 9860490000 is 99300.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 2 ways, for example, as 773062416 + 9087427584 = 27804^2 + 95328^2 .
It is a tau number, because it is divible by the number of its divisors (225).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (9860490001) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29789835 + ... + 29790165.
Almost surely, 29860490000 is an apocalyptic number.
9860490000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
9860490000 is the 99300-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9860490000
9860490000 is an abundant number, since it is smaller than the sum of its proper divisors (24727562499).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9860490000 is an equidigital number, since it uses as much as digits as its factorization.
9860490000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 696 (or 341 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The cubic root of 9860490000 is about 2144.3688951363.
Multiplying 9860490000 by its sum of digits (36), we get a square (354977640000 = 5958002).
9860490000 divided by its sum of digits (36) gives a square (273902500 = 165502).
The spelling of 9860490000 in words is "nine billion, eight hundred sixty million, four hundred ninety thousand".
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