Base | Representation |
---|---|
bin | 11101110011101101101… |
… | …00101010111101001000 |
3 | 10121220121221222010122000 |
4 | 32321312310222331020 |
5 | 113240023102012433 |
6 | 2102301541031000 |
7 | 133665345052401 |
oct | 16716664527510 |
9 | 3556557863560 |
10 | 1024195735368 |
11 | 3653a4879003 |
12 | 1465b50b5460 |
13 | 75772cb8010 |
14 | 377dda749a8 |
15 | 1b995a1d113 |
hex | ee76d2af48 |
1024195735368 has 128 divisors (see below), whose sum is σ = 3115763280000. Its totient is φ = 309795791616.
The previous prime is 1024195735351. The next prime is 1024195735397. The reversal of 1024195735368 is 8635375914201.
It is a happy number.
1024195735368 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 9 + 573 + 5 + 3 + 68 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2925363 + ... + 3256706.
It is an arithmetic number, because the mean of its divisors is an integer number (24341900625).
It is a 1-persistent number, because it is pandigital, but 2⋅1024195735368 = 2048391470736 is not.
Almost surely, 21024195735368 is an apocalyptic number.
1024195735368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
1024195735368 is an abundant number, since it is smaller than the sum of its proper divisors (2091567544632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1024195735368 is a wasteful number, since it uses less digits than its factorization.
1024195735368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6182156 (or 6182146 counting only the distinct ones).
The product of its (nonzero) digits is 5443200, while the sum is 54.
The spelling of 1024195735368 in words is "one trillion, twenty-four billion, one hundred ninety-five million, seven hundred thirty-five thousand, three hundred sixty-eight".
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