| Base | Representation |
|---|---|
| bin | 1010000110110110… |
| … | …1101111011100000 |
| 3 | 21000002012121000000 |
| 4 | 2201231231323200 |
| 5 | 21024024211014 |
| 6 | 1125115300000 |
| 7 | 124143052206 |
| oct | 24155557340 |
| 9 | 7002177000 |
| 10 | 2713116384 |
| 11 | 1172535550 |
| 12 | 63874a600 |
| 13 | 343129914 |
| 14 | 1ba489076 |
| 15 | 10d2c6509 |
| hex | a1b6dee0 |
2713116384 has 336 divisors, whose sum is σ = 8907600240. Its totient is φ = 806215680.
The previous prime is 2713116331. The next prime is 2713116389. The reversal of 2713116384 is 4836113172.
It is a happy number.
2713116384 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 11 + 638 + 4 = 666.
It is a super-3 number, since 3×27131163843 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2713116389) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24890922 + ... + 24891030.
It is an arithmetic number, because the mean of its divisors is an integer number (26510715).
Almost surely, 22713116384 is an apocalyptic number.
2713116384 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 2713116384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453800120).
2713116384 is an abundant number, since it is smaller than the sum of its proper divisors (6194483856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2713116384 is a wasteful number, since it uses less digits than its factorization.
2713116384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 245 (or 222 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 2713116384 is about 52087.5837796302. The cubic root of 2713116384 is about 1394.7278553406.
The spelling of 2713116384 in words is "two billion, seven hundred thirteen million, one hundred sixteen thousand, three hundred eighty-four".
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