Base | Representation |
---|---|
bin | 101111100111110001… |
… | …0101011000010000000 |
3 | 100202222002221021120200 |
4 | 1133033202223002000 |
5 | 3133420123030142 |
6 | 114551440005200 |
7 | 10250152350600 |
oct | 1371742530200 |
9 | 322862837520 |
10 | 102266220672 |
11 | 3a409685250 |
12 | 179a0900800 |
13 | 984a188615 |
14 | 4d42018c00 |
15 | 29d818764c |
hex | 17cf8ab080 |
102266220672 has 576 divisors, whose sum is σ = 377123947200. Its totient is φ = 26301542400.
The previous prime is 102266220671. The next prime is 102266220677. The reversal of 102266220672 is 276022662201.
102266220672 is a `hidden beast` number, since 1 + 0 + 2 + 26 + 622 + 0 + 6 + 7 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (102266220671) 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 71 ways as a sum of consecutive naturals, for example, 67680397 + ... + 67681907.
It is an arithmetic number, because the mean of its divisors is an integer number (654729075).
Almost surely, 2102266220672 is an apocalyptic number.
102266220672 is a gapful number since it is divisible by the number (12) 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 102266220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188561973600).
102266220672 is an abundant number, since it is smaller than the sum of its proper divisors (274857726528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102266220672 is a wasteful number, since it uses less digits than its factorization.
102266220672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1665 (or 1643 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
Adding to 102266220672 its reverse (276022662201), we get a palindrome (378288882873).
The spelling of 102266220672 in words is "one hundred two billion, two hundred sixty-six million, two hundred twenty thousand, six hundred seventy-two".
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