| Base | Representation |
|---|---|
| bin | 111110100011000… |
| … | …0011011100000000 |
| 3 | 12102021010222121000 |
| 4 | 1331012003130000 |
| 5 | 13244234121234 |
| 6 | 544131132000 |
| 7 | 103002662301 |
| oct | 17506033400 |
| 9 | 5367128530 |
| 10 | 2098738944 |
| 11 | 9877576a5 |
| 12 | 4a6a44000 |
| 13 | 275a68b83 |
| 14 | 15ca3c7a8 |
| 15 | c43b8899 |
| hex | 7d183700 |
2098738944 has 288 divisors, whose sum is σ = 6715275840. Its totient is φ = 644087808.
The previous prime is 2098738907. The next prime is 2098738949. The reversal of 2098738944 is 4498378902.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Smith number, since the sum of its digits (54) 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 (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2098738949) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 6227544 + ... + 6227880.
It is an arithmetic number, because the mean of its divisors is an integer number (23316930).
Almost surely, 22098738944 is an apocalyptic number.
2098738944 is a gapful number since it is divisible by the number (24) 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 2098738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357637920).
2098738944 is an abundant number, since it is smaller than the sum of its proper divisors (4616536896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2098738944 is a wasteful number, since it uses less digits than its factorization.
2098738944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 432 (or 412 counting only the distinct ones).
The product of its (nonzero) digits is 3483648, while the sum is 54.
The square root of 2098738944 is about 45811.9956343314. The cubic root of 2098738944 is about 1280.3227831789.
The spelling of 2098738944 in words is "two billion, ninety-eight million, seven hundred thirty-eight thousand, nine hundred forty-four".
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