| Base | Representation |
|---|---|
| bin | 1111001010001010… |
| … | …01100000010000000 |
| 3 | 210000011122222020000 |
| 4 | 13211011030002000 |
| 5 | 113131401403020 |
| 6 | 3423320120000 |
| 7 | 405450330420 |
| oct | 74505140200 |
| 9 | 23004588200 |
| 10 | 8138309760 |
| 11 | 34a6955639 |
| 12 | 16b1606000 |
| 13 | 9c90ab009 |
| 14 | 572bcc480 |
| 15 | 32971b090 |
| hex | 1e514c080 |
8138309760 has 640 divisors, whose sum is σ = 34087616640. Its totient is φ = 1811496960.
The previous prime is 8138309747. The next prime is 8138309761. The reversal of 8138309760 is 679038318.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×81383097602 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (8138309761) 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 79 ways as a sum of consecutive naturals, for example, 14877807 + ... + 14878353.
It is an arithmetic number, because the mean of its divisors is an integer number (53261901).
Almost surely, 28138309760 is an apocalyptic number.
8138309760 is a gapful number since it is divisible by the number (80) 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 8138309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17043808320).
8138309760 is an abundant number, since it is smaller than the sum of its proper divisors (25949306880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8138309760 is a wasteful number, since it uses less digits than its factorization.
8138309760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 626 (or 605 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The square root of 8138309760 is about 90212.5809407978. The cubic root of 8138309760 is about 2011.4600218604.
The spelling of 8138309760 in words is "eight billion, one hundred thirty-eight million, three hundred nine thousand, seven hundred sixty".
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