Base | Representation |
---|---|
bin | 111111101101101101… |
… | …010011110101100100 |
3 | 20112120210100112010000 |
4 | 333231231103311210 |
5 | 2110102110243424 |
6 | 51232303101300 |
7 | 4641220253322 |
oct | 775555236544 |
9 | 215523315100 |
10 | 68412587364 |
11 | 27017138500 |
12 | 113132a1830 |
13 | 65b35cb034 |
14 | 344dc7ad12 |
15 | 1ba609b3c9 |
hex | fedb53d64 |
68412587364 has 135 divisors (see below), whose sum is σ = 196729538313. Its totient is φ = 20715393600.
The previous prime is 68412587311. The next prime is 68412587371. The reversal of 68412587364 is 46378521486.
It is a happy number.
The square root of 68412587364 is 261558.
It is a perfect power (a square), and thus also a powerful number.
68412587364 is a `hidden beast` number, since 6 + 84 + 125 + 87 + 364 = 666.
It can be written as a sum of positive squares in only one way, i.e., 63331748964 + 5080838400 = 251658^2 + 71280^2 .
It is a super-3 number, since 3×684125873643 (a number of 33 digits) contains 333 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 68412587364.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51787824 + ... + 51789144.
Almost surely, 268412587364 is an apocalyptic number.
68412587364 is the 261558-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 68412587364
68412587364 is an abundant number, since it is smaller than the sum of its proper divisors (128316950949).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68412587364 is a wasteful number, since it uses less digits than its factorization.
68412587364 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2680 (or 1337 counting only the distinct ones).
The product of its digits is 7741440, while the sum is 54.
The spelling of 68412587364 in words is "sixty-eight billion, four hundred twelve million, five hundred eighty-seven thousand, three hundred sixty-four".
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