Base | Representation |
---|---|
bin | 111111010010000011… |
… | …010010011100011000 |
3 | 20111101110020211222001 |
4 | 333102003102130120 |
5 | 2103124314234101 |
6 | 51114250010344 |
7 | 4623554313040 |
oct | 772203223430 |
9 | 214343224861 |
10 | 67948586776 |
11 | 268a9229a44 |
12 | 11203a169b4 |
13 | 653b43b885 |
14 | 34083b6720 |
15 | 1b7a494901 |
hex | fd20d2718 |
67948586776 has 128 divisors (see below), whose sum is σ = 152616038400. Its totient is φ = 27749744640.
The previous prime is 67948586773. The next prime is 67948586777. The reversal of 67948586776 is 67768584976.
It is a junction number, because it is equal to n+sod(n) for n = 67948586699 and 67948586708.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (67948586773) 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 31 ways as a sum of consecutive naturals, for example, 58931416 + ... + 58932568.
It is an arithmetic number, because the mean of its divisors is an integer number (1192312800).
Almost surely, 267948586776 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 67948586776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76308019200).
67948586776 is an abundant number, since it is smaller than the sum of its proper divisors (84667451624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67948586776 is a wasteful number, since it uses less digits than its factorization.
67948586776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1689 (or 1685 counting only the distinct ones).
The product of its digits is 853493760, while the sum is 73.
The spelling of 67948586776 in words is "sixty-seven billion, nine hundred forty-eight million, five hundred eighty-six thousand, seven hundred seventy-six".
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