| Base | Representation |
|---|---|
| bin | 1001100101001110… |
| … | …10010100100010000 |
| 3 | 111021111120202200101 |
| 4 | 10302213102210100 |
| 5 | 41013344042020 |
| 6 | 2210240302144 |
| 7 | 241322236012 |
| oct | 46247224420 |
| 9 | 14244522611 |
| 10 | 5144127760 |
| 11 | 21aa7a9362 |
| 12 | bb6911954 |
| 13 | 63c9829a5 |
| 14 | 36b29c1b2 |
| 15 | 20192600a |
| hex | 1329d2910 |
5144127760 has 80 divisors (see below), whose sum is σ = 12338607600. Its totient is φ = 1993033728.
The previous prime is 5144127731. The next prime is 5144127763. The reversal of 5144127760 is 677214415.
It can be written as a sum of positive squares in 8 ways, for example, as 33593616 + 5110534144 = 5796^2 + 71488^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×51441277602 = 52924100822405235200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (37).
It is not an unprimeable number, because it can be changed into a prime (5144127763) 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 15 ways as a sum of consecutive naturals, for example, 674046 + ... + 681634.
It is an arithmetic number, because the mean of its divisors is an integer number (154232595).
Almost surely, 25144127760 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5144127760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169303800).
5144127760 is an abundant number, since it is smaller than the sum of its proper divisors (7194479840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5144127760 is a wasteful number, since it uses less digits than its factorization.
5144127760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7868 (or 7862 counting only the distinct ones).
The product of its (nonzero) digits is 47040, while the sum is 37.
The square root of 5144127760 is about 71722.5749677185. The cubic root of 5144127760 is about 1726.2508896552.
The spelling of 5144127760 in words is "five billion, one hundred forty-four million, one hundred twenty-seven thousand, seven hundred sixty".
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