| Base | Representation |
|---|---|
| bin | 1100111011001001… |
| … | …00100010011000000 |
| 3 | 122220120011011222200 |
| 4 | 12131210210103000 |
| 5 | 103202233413224 |
| 6 | 3104301433200 |
| 7 | 333641631510 |
| oct | 63544442300 |
| 9 | 18816134880 |
| 10 | 6938576064 |
| 11 | 2a40710992 |
| 12 | 141786b800 |
| 13 | 86767ab14 |
| 14 | 49b72b840 |
| 15 | 2a92345c9 |
| hex | 19d9244c0 |
6938576064 has 336 divisors, whose sum is σ = 23314444608. Its totient is φ = 1932263424.
The previous prime is 6938576063. The next prime is 6938576107. The reversal of 6938576064 is 4606758396.
6938576064 is a `hidden beast` number, since 6 + 9 + 3 + 8 + 576 + 0 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a self number, because there is not a number n which added to its sum of digits gives 6938576064.
It is not an unprimeable number, because it can be changed into a prime (6938576063) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44194674 + ... + 44194830.
It is an arithmetic number, because the mean of its divisors is an integer number (69388228).
Almost surely, 26938576064 is an apocalyptic number.
6938576064 is a gapful number since it is divisible by the number (64) 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 6938576064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11657222304).
6938576064 is an abundant number, since it is smaller than the sum of its proper divisors (16375868544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6938576064 is a wasteful number, since it uses less digits than its factorization.
6938576064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 392 (or 379 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The square root of 6938576064 is about 83298.1156089380. The cubic root of 6938576064 is about 1907.3195099784.
The spelling of 6938576064 in words is "six billion, nine hundred thirty-eight million, five hundred seventy-six thousand, sixty-four".
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