Base | Representation |
---|---|
bin | 10010100110000000… |
… | …01101011000010000 |
3 | 221202200211110100000 |
4 | 21103000031120100 |
5 | 130421004421240 |
6 | 4330315330000 |
7 | 502242556434 |
oct | 112300153020 |
9 | 27680743300 |
10 | 9982498320 |
11 | 4262950813 |
12 | 1b27150900 |
13 | c311a0252 |
14 | 6a9ac89c4 |
15 | 3d65a2430 |
hex | 25300d610 |
9982498320 has 240 divisors, whose sum is σ = 35967072960. Its totient is φ = 2570061312.
The previous prime is 9982498297. The next prime is 9982498321. The reversal of 9982498320 is 238942899.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (9982498321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554907 + ... + 572613.
It is an arithmetic number, because the mean of its divisors is an integer number (149862804).
Almost surely, 29982498320 is an apocalyptic number.
9982498320 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 9982498320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983536480).
9982498320 is an abundant number, since it is smaller than the sum of its proper divisors (25984574640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9982498320 is a wasteful number, since it uses less digits than its factorization.
9982498320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17764 (or 17746 counting only the distinct ones).
The product of its (nonzero) digits is 2239488, while the sum is 54.
The square root of 9982498320 is about 99912.4532778572. The cubic root of 9982498320 is about 2153.1770818536.
The spelling of 9982498320 in words is "nine billion, nine hundred eighty-two million, four hundred ninety-eight thousand, three hundred twenty".
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