Base | Representation |
---|---|
bin | 11000010001100100011111… |
… | …11001110011111011000000 |
3 | 21000000002210122110220110100 |
4 | 30020302033321303323000 |
5 | 23444040242032221311 |
6 | 305310320112402400 |
7 | 14146411541164320 |
oct | 1410621771637300 |
9 | 230002718426410 |
10 | 53380267851456 |
11 | 16010498643987 |
12 | 5ba1553846400 |
13 | 23a2978839470 |
14 | d27893bc3280 |
15 | 6288237dea56 |
hex | 308c8fe73ec0 |
53380267851456 has 336 divisors, whose sum is σ = 199391003832384. Its totient is φ = 13250176155648.
The previous prime is 53380267851419. The next prime is 53380267851457. The reversal of 53380267851456 is 65415876208335.
53380267851456 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 0 + 2 + 67 + 8 + 514 + 56 = 666.
53380267851456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (336).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 53380267851393 and 53380267851402.
It is not an unprimeable number, because it can be changed into a prime (53380267851457) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 29061765 + ... + 30843908.
It is an arithmetic number, because the mean of its divisors is an integer number (593425606644).
Almost surely, 253380267851456 is an apocalyptic number.
53380267851456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.
It is an amenable number.
53380267851456 is an abundant number, since it is smaller than the sum of its proper divisors (146010735980928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53380267851456 is a wasteful number, since it uses less digits than its factorization.
53380267851456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59905728 (or 59905715 counting only the distinct ones).
The product of its (nonzero) digits is 145152000, while the sum is 63.
The spelling of 53380267851456 in words is "fifty-three trillion, three hundred eighty billion, two hundred sixty-seven million, eight hundred fifty-one thousand, four hundred fifty-six".
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