| Base | Representation |
|---|---|
| bin | 100100000111111011… |
| … | …1011000010000110100 |
| 3 | 21102020101011010102000 |
| 4 | 1020033313120100310 |
| 5 | 2232333322234433 |
| 6 | 55345430015300 |
| 7 | 5414252415513 |
| oct | 1101767302064 |
| 9 | 242211133360 |
| 10 | 77575586868 |
| 11 | 2a99943a66a |
| 12 | 1304baa7530 |
| 13 | 7413a7c130 |
| 14 | 3a7cba267a |
| 15 | 2040724113 |
| hex | 120fdd8434 |
77575586868 has 96 divisors (see below), whose sum is σ = 216876038400. Its totient is φ = 23838198912.
The previous prime is 77575586863. The next prime is 77575586887. The reversal of 77575586868 is 86868557577.
77575586868 is a `hidden beast` number, since 7 + 7 + 5 + 7 + 558 + 6 + 8 + 68 = 666.
It is a super-3 number, since 3×775755868683 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 77575586796 and 77575586805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (77575586863) 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, 1049553 + ... + 1121031.
It is an arithmetic number, because the mean of its divisors is an integer number (2259125400).
Almost surely, 277575586868 is an apocalyptic number.
77575586868 is a gapful number since it is divisible by the number (78) 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 77575586868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108438019200).
77575586868 is an abundant number, since it is smaller than the sum of its proper divisors (139300451532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77575586868 is a wasteful number, since it uses less digits than its factorization.
77575586868 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72278 (or 72270 counting only the distinct ones).
The product of its digits is 790272000, while the sum is 72.
The spelling of 77575586868 in words is "seventy-seven billion, five hundred seventy-five million, five hundred eighty-six thousand, eight hundred sixty-eight".
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