Base | Representation |
---|---|
bin | 10010010000101000… |
… | …00011001001100000 |
3 | 221022012100121120200 |
4 | 21020110003021200 |
5 | 130034101244140 |
6 | 4300431305200 |
7 | 464634254004 |
oct | 111024031140 |
9 | 27265317520 |
10 | 9803149920 |
11 | 41806936a3 |
12 | 1a9707b200 |
13 | c02c96b35 |
14 | 68dd60704 |
15 | 3c5977030 |
hex | 248503260 |
9803149920 has 144 divisors (see below), whose sum is σ = 33856713072. Its totient is φ = 2582645760.
The previous prime is 9803149919. The next prime is 9803149927. The reversal of 9803149920 is 299413089.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×98031499202 (a number of 21 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9803149927) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78510 + ... + 160530.
It is an arithmetic number, because the mean of its divisors is an integer number (235116063).
Almost surely, 29803149920 is an apocalyptic number.
9803149920 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 9803149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16928356536).
9803149920 is an abundant number, since it is smaller than the sum of its proper divisors (24053563152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9803149920 is a wasteful number, since it uses less digits than its factorization.
9803149920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 82125 (or 82114 counting only the distinct ones).
The product of its (nonzero) digits is 139968, while the sum is 45.
The square root of 9803149920 is about 99010.8575864284. The cubic root of 9803149920 is about 2140.2042137782.
The spelling of 9803149920 in words is "nine billion, eight hundred three million, one hundred forty-nine thousand, nine hundred twenty".
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