Base | Representation |
---|---|
bin | 111100011010101100… |
… | …100000000000000000 |
3 | 20012110001211110222000 |
4 | 330122230200000000 |
5 | 2030324312214324 |
6 | 45445120144000 |
7 | 4454412103251 |
oct | 743254400000 |
9 | 205401743860 |
10 | 64872382464 |
11 | 2556a85012a |
12 | 106a5768000 |
13 | 616b025836 |
14 | 31d5a14b28 |
15 | 1a4a39b9c9 |
hex | f1ab20000 |
64872382464 has 288 divisors, whose sum is σ = 200822509440. Its totient is φ = 20657995776.
The previous prime is 64872382459. The next prime is 64872382507. The reversal of 64872382464 is 46428327846.
64872382464 is a `hidden beast` number, since 6 + 4 + 87 + 23 + 82 + 464 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×648723824642 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 64872382464.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81395314 + ... + 81396110.
It is an arithmetic number, because the mean of its divisors is an integer number (697300380).
Almost surely, 264872382464 is an apocalyptic number.
64872382464 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 64872382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100411254720).
64872382464 is an abundant number, since it is smaller than the sum of its proper divisors (135950126976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64872382464 is an frugal number, since it uses more digits than its factorization.
64872382464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 863 (or 825 counting only the distinct ones).
The product of its digits is 12386304, while the sum is 54.
The spelling of 64872382464 in words is "sixty-four billion, eight hundred seventy-two million, three hundred eighty-two thousand, four hundred sixty-four".
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