| Base | Representation |
|---|---|
| bin | 1110111010001101… |
| … | …00100110100000000 |
| 3 | 202122211210110221111 |
| 4 | 13131012210310000 |
| 5 | 112343120040210 |
| 6 | 3402135133104 |
| 7 | 402233515324 |
| oct | 73506446400 |
| 9 | 22584713844 |
| 10 | 8004455680 |
| 11 | 3438341031 |
| 12 | 1674814194 |
| 13 | 9a7443210 |
| 14 | 55d107984 |
| 15 | 31caca88a |
| hex | 1dd1a4d00 |
8004455680 has 144 divisors (see below), whose sum is σ = 21207718224. Its totient is φ = 2875392000.
The previous prime is 8004455663. The next prime is 8004455681. The reversal of 8004455680 is 865544008.
It can be written as a sum of positive squares in 8 ways, for example, as 1076889856 + 6927565824 = 32816^2 + 83232^2 .
It is a Smith number, since the sum of its digits (40) 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 (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8004455681) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609180 + ... + 622180.
It is an arithmetic number, because the mean of its divisors is an integer number (147275821).
Almost surely, 28004455680 is an apocalyptic number.
8004455680 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 8004455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10603859112).
8004455680 is an abundant number, since it is smaller than the sum of its proper divisors (13203262544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8004455680 is a wasteful number, since it uses less digits than its factorization.
8004455680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13072 (or 13058 counting only the distinct ones).
The product of its (nonzero) digits is 153600, while the sum is 40.
The square root of 8004455680 is about 89467.6236411809. The cubic root of 8004455680 is about 2000.3712377537.
Adding to 8004455680 its reverse (865544008), we get a palindrome (8869999688).
The spelling of 8004455680 in words is "eight billion, four million, four hundred fifty-five thousand, six hundred eighty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.079 sec. • engine limits •