Base | Representation |
---|---|
bin | 11110000011010011111101… |
… | …01001000110100000000000 |
3 | 22122222121121211122000000000 |
4 | 33001221332221012200000 |
5 | 32130212014312120000 |
6 | 352314444000000000 |
7 | 16630306206502662 |
oct | 1701517651064000 |
9 | 278877554560000 |
10 | 66084491520000 |
11 | 1a06930370a038 |
12 | 74b374a600000 |
13 | 2ab498273ab25 |
14 | 1246713a00532 |
15 | 7990214c0000 |
hex | 3c1a7ea46800 |
66084491520000 has 2400 divisors, whose sum is σ = 257587333043040. Its totient is φ = 16930529280000.
The previous prime is 66084491519993. The next prime is 66084491520007. The reversal of 66084491520000 is 2519448066.
66084491520000 is a `hidden beast` number, since 6 + 6 + 0 + 84 + 49 + 1 + 520 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (66084491519993) and next prime (66084491520007).
It is a tau number, because it is divible by the number of its divisors (2400).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (66084491520007) 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 199 ways as a sum of consecutive naturals, for example, 1083352319970 + ... + 1083352320030.
Almost surely, 266084491520000 is an apocalyptic number.
66084491520000 is a gapful number since it is divisible by the number (60) 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 66084491520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128793666521520).
66084491520000 is an abundant number, since it is smaller than the sum of its proper divisors (191502841523040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66084491520000 is an frugal number, since it uses more digits than its factorization.
66084491520000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 173 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 414720, while the sum is 45.
The spelling of 66084491520000 in words is "sixty-six trillion, eighty-four billion, four hundred ninety-one million, five hundred twenty thousand".
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