| Base | Representation |
|---|---|
| bin | 1011011010101100… |
| … | …11101111000100000 |
| 3 | 120211011212120222100 |
| 4 | 11231112131320200 |
| 5 | 100023132322113 |
| 6 | 2452122010400 |
| 7 | 304616341260 |
| oct | 55526357040 |
| 9 | 16734776870 |
| 10 | 6129573408 |
| 11 | 2665a91252 |
| 12 | 1230946a00 |
| 13 | 768b9531a |
| 14 | 4220db7a0 |
| 15 | 25d1ced73 |
| hex | 16d59de20 |
6129573408 has 144 divisors (see below), whose sum is σ = 19957916160. Its totient is φ = 1748072448.
The previous prime is 6129573403. The next prime is 6129573419. The reversal of 6129573408 is 8043759216.
6129573408 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
6129573408 is strictly pandigital in base 10.
It is not an unprimeable number, because it can be changed into a prime (6129573403) 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 23 ways as a sum of consecutive naturals, for example, 1221208 + ... + 1226216.
It is an arithmetic number, because the mean of its divisors is an integer number (138596640).
It is a 1-persistent number, because it is pandigital, but 2⋅6129573408 = 12259146816 is not.
Almost surely, 26129573408 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 6129573408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978958080).
6129573408 is an abundant number, since it is smaller than the sum of its proper divisors (13828342752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6129573408 is a wasteful number, since it uses less digits than its factorization.
6129573408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5639 (or 5628 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 6129573408 is about 78291.5921922654. The cubic root of 6129573408 is about 1830.1081294166.
The spelling of 6129573408 in words is "six billion, one hundred twenty-nine million, five hundred seventy-three thousand, four hundred eight".
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