Base | Representation |
---|---|
bin | 10111111111010001100101… |
… | …10011001101011000000000 |
3 | 20220210000012112102112100000 |
4 | 23333220302303031120000 |
5 | 23403240324444130100 |
6 | 304105434045200000 |
7 | 14053115554632630 |
oct | 1377506263153000 |
9 | 226700175375300 |
10 | 52751640614400 |
11 | 15898932992492 |
12 | 5abb755860000 |
13 | 23585c604a140 |
14 | d0529b9566c0 |
15 | 6172d060c900 |
hex | 2ffa32ccd600 |
52751640614400 has 5760 divisors, whose sum is σ = 269021551518720. Its totient is φ = 9906778275840.
The previous prime is 52751640614389. The next prime is 52751640614447. The reversal of 52751640614400 is 441604615725.
52751640614400 is a `hidden beast` number, since 5 + 2 + 75 + 164 + 0 + 6 + 14 + 400 = 666.
52751640614400 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 (5760).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
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 575 ways as a sum of consecutive naturals, for example, 91423986912 + ... + 91423987488.
It is an arithmetic number, because the mean of its divisors is an integer number (46705130472).
Almost surely, 252751640614400 is an apocalyptic number.
52751640614400 is a gapful number since it is divisible by the number (50) 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 52751640614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134510775759360).
52751640614400 is an abundant number, since it is smaller than the sum of its proper divisors (216269910904320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52751640614400 is a wasteful number, since it uses less digits than its factorization.
52751640614400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 676 (or 643 counting only the distinct ones).
The product of its (nonzero) digits is 806400, while the sum is 45.
The spelling of 52751640614400 in words is "fifty-two trillion, seven hundred fifty-one billion, six hundred forty million, six hundred fourteen thousand, four hundred".
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