| Base | Representation |
|---|---|
| bin | 1001100000011000… |
| … | …1000000100000000 |
| 3 | 20120211112221221122 |
| 4 | 2120012020010000 |
| 5 | 20211221231340 |
| 6 | 1101112411412 |
| 7 | 120143312102 |
| oct | 23006100400 |
| 9 | 6524487848 |
| 10 | 2551742720 |
| 11 | 109a43508a |
| 12 | 5b26a6b68 |
| 13 | 318877b47 |
| 14 | 1a2c7d572 |
| 15 | ee04bdb5 |
| hex | 98188100 |
2551742720 has 72 divisors (see below), whose sum is σ = 6136795224. Its totient is φ = 1016594432.
The previous prime is 2551742701. The next prime is 2551742729. The reversal of 2551742720 is 272471552.
It can be written as a sum of positive squares in 4 ways, for example, as 1382649856 + 1169092864 = 37184^2 + 34192^2 .
It is a super-2 number, since 2×25517427202 = 13022781818145996800, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2551742729) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325082 + ... + 332838.
It is an arithmetic number, because the mean of its divisors is an integer number (85233267).
Almost surely, 22551742720 is an apocalyptic number.
2551742720 is a gapful number since it is divisible by the number (20) 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 2551742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068397612).
2551742720 is an abundant number, since it is smaller than the sum of its proper divisors (3585052504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2551742720 is an equidigital number, since it uses as much as digits as its factorization.
2551742720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8035 (or 8021 counting only the distinct ones).
The product of its (nonzero) digits is 39200, while the sum is 35.
The square root of 2551742720 is about 50514.7772438917. Note that the first 3 decimals coincide. The cubic root of 2551742720 is about 1366.5083658276.
The spelling of 2551742720 in words is "two billion, five hundred fifty-one million, seven hundred forty-two thousand, seven hundred twenty".
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