| Base | Representation |
|---|---|
| bin | 111101110100011101… |
| … | …111000110110000000 |
| 3 | 20100100000212020212200 |
| 4 | 331310131320312000 |
| 5 | 2041420344022004 |
| 6 | 50254401353200 |
| 7 | 4536630645000 |
| oct | 756435706600 |
| 9 | 210300766780 |
| 10 | 66378501504 |
| 11 | 26172a2a707 |
| 12 | 10a46038800 |
| 13 | 634b07b033 |
| 14 | 32d9a6c000 |
| 15 | 1ad7704239 |
| hex | f74778d80 |
66378501504 has 384 divisors, whose sum is σ = 229981440000. Its totient is φ = 18350115840.
The previous prime is 66378501503. The next prime is 66378501509. The reversal of 66378501504 is 40510587366.
66378501504 is a `hidden beast` number, since 6 + 63 + 7 + 85 + 0 + 1 + 504 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×663785015042 (a number of 22 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 66378501504.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (66378501503) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12246507 + ... + 12251925.
It is an arithmetic number, because the mean of its divisors is an integer number (598910000).
Almost surely, 266378501504 is an apocalyptic number.
66378501504 is a gapful number since it is divisible by the number (64) 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 66378501504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114990720000).
66378501504 is an abundant number, since it is smaller than the sum of its proper divisors (163602938496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66378501504 is a wasteful number, since it uses less digits than its factorization.
66378501504 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5491 (or 5462 counting only the distinct ones).
The product of its (nonzero) digits is 604800, while the sum is 45.
The spelling of 66378501504 in words is "sixty-six billion, three hundred seventy-eight million, five hundred one thousand, five hundred four".
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