Base | Representation |
---|---|
bin | 111111010001000010… |
… | …101011001000111000 |
3 | 20111100021101022010000 |
4 | 333101002223020320 |
5 | 2103111000223233 |
6 | 51112442553000 |
7 | 4623260325360 |
oct | 772102531070 |
9 | 214307338100 |
10 | 67931648568 |
11 | 2689a710023 |
12 | 111ba208760 |
13 | 6537a8ac74 |
14 | 34060479a0 |
15 | 1b78c4ad13 |
hex | fd10ab238 |
67931648568 has 160 divisors (see below), whose sum is σ = 217800696960. Its totient is φ = 19378025280.
The previous prime is 67931648567. The next prime is 67931648581. The reversal of 67931648568 is 86584613976.
67931648568 is a `hidden beast` number, since 6 + 7 + 9 + 3 + 1 + 64 + 8 + 568 = 666.
It is a super-2 number, since 2×679316485682 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (67931648567) 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 39 ways as a sum of consecutive naturals, for example, 2905003 + ... + 2928293.
It is an arithmetic number, because the mean of its divisors is an integer number (1361254356).
Almost surely, 267931648568 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 67931648568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108900348480).
67931648568 is an abundant number, since it is smaller than the sum of its proper divisors (149869048392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67931648568 is a wasteful number, since it uses less digits than its factorization.
67931648568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23959 (or 23946 counting only the distinct ones).
The product of its digits is 52254720, while the sum is 63.
The spelling of 67931648568 in words is "sixty-seven billion, nine hundred thirty-one million, six hundred forty-eight thousand, five hundred sixty-eight".
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