| Base | Representation |
|---|---|
| bin | 100100001110000110… |
| … | …0111100010001000000 |
| 3 | 21102202210121202100000 |
| 4 | 1020130030330101000 |
| 5 | 2233244314102302 |
| 6 | 55422142200000 |
| 7 | 5422344621210 |
| oct | 1103414742100 |
| 9 | 242683552300 |
| 10 | 77782565952 |
| 11 | 2aa9525a063 |
| 12 | 130a9283000 |
| 13 | 744790ac70 |
| 14 | 3a9c480240 |
| 15 | 20539ab31c |
| hex | 121c33c440 |
77782565952 has 1344 divisors, whose sum is σ = 312019029504. Its totient is φ = 18632540160.
The previous prime is 77782565941. The next prime is 77782565953. The reversal of 77782565952 is 25956528777.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-3 number, since 3×777825659523 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 77782565952.
It is not an unprimeable number, because it can be changed into a prime (77782565953) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1275124002 + ... + 1275124062.
It is an arithmetic number, because the mean of its divisors is an integer number (232157016).
Almost surely, 277782565952 is an apocalyptic number.
77782565952 is a gapful number since it is divisible by the number (72) 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 77782565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156009514752).
77782565952 is an abundant number, since it is smaller than the sum of its proper divisors (234236463552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77782565952 is a wasteful number, since it uses less digits than its factorization.
77782565952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 178 (or 156 counting only the distinct ones).
The product of its digits is 74088000, while the sum is 63.
The spelling of 77782565952 in words is "seventy-seven billion, seven hundred eighty-two million, five hundred sixty-five thousand, nine hundred fifty-two".
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