| Base | Representation |
|---|---|
| bin | 1011110100111110… |
| … | …10001100101100000 |
| 3 | 121101112121201102000 |
| 4 | 11322133101211200 |
| 5 | 101001044024034 |
| 6 | 2530034124000 |
| 7 | 313233664065 |
| oct | 57237214540 |
| 9 | 17345551360 |
| 10 | 6349986144 |
| 11 | 2769446637 |
| 12 | 1292720600 |
| 13 | 7a2748868 |
| 14 | 4434b4c6c |
| 15 | 27271c599 |
| hex | 17a7d1960 |
6349986144 has 72 divisors (see below), whose sum is σ = 18527627160. Its totient is φ = 2115881280.
The previous prime is 6349986133. The next prime is 6349986163. The reversal of 6349986144 is 4416899436.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
6349986144 is a `hidden beast` number, since 6 + 3 + 499 + 8 + 6 + 144 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 2340949 + ... + 2343659.
It is an arithmetic number, because the mean of its divisors is an integer number (257328155).
Almost surely, 26349986144 is an apocalyptic number.
It is an amenable number.
6349986144 is an abundant number, since it is smaller than the sum of its proper divisors (12177641016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6349986144 is an frugal number, since it uses more digits than its factorization.
6349986144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5441 (or 2716 counting only the distinct ones).
The product of its digits is 4478976, while the sum is 54.
The square root of 6349986144 is about 79686.8003122223. The cubic root of 6349986144 is about 1851.7865521288.
Multiplying 6349986144 by its sum of digits (54), we get a square (342899251776 = 5855762).
6349986144 divided by its sum of digits (54) gives a square (117592336 = 108442).
The spelling of 6349986144 in words is "six billion, three hundred forty-nine million, nine hundred eighty-six thousand, one hundred forty-four".
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