| Base | Representation |
|---|---|
| bin | 1011101000000000… |
| … | …00000010011100000 |
| 3 | 121002221210000211000 |
| 4 | 11310000000103200 |
| 5 | 100240212004400 |
| 6 | 2511144552000 |
| 7 | 310442456313 |
| oct | 56400002340 |
| 9 | 17087700730 |
| 10 | 6241125600 |
| 11 | 2712a53046 |
| 12 | 1262182600 |
| 13 | 786022038 |
| 14 | 432c5897a |
| 15 | 267db7600 |
| hex | 1740004e0 |
6241125600 has 288 divisors, whose sum is σ = 22780729440. Its totient is φ = 1648926720.
The previous prime is 6241125587. The next prime is 6241125607. The reversal of 6241125600 is 65211426.
6241125600 is a `hidden beast` number, since 6 + 2 + 41 + 12 + 5 + 600 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6241125607) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2439522 + ... + 2442078.
It is an arithmetic number, because the mean of its divisors is an integer number (79099755).
Almost surely, 26241125600 is an apocalyptic number.
6241125600 is a gapful number since it is divisible by the number (60) 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 6241125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390364720).
6241125600 is an abundant number, since it is smaller than the sum of its proper divisors (16539603840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6241125600 is a wasteful number, since it uses less digits than its factorization.
6241125600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2699 (or 2680 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 6241125600 is about 79000.7949327094. The cubic root of 6241125600 is about 1841.1435078466.
It can be divided in two parts, 6241 and 125600, that added together give a triangular number (131841 = T513).
The spelling of 6241125600 in words is "six billion, two hundred forty-one million, one hundred twenty-five thousand, six hundred".
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