Base | Representation |
---|---|
bin | 11000001011111000100110… |
… | …11110000000000000000000 |
3 | 20222022102112120220222222000 |
4 | 30011330103132000000000 |
5 | 23432340142101022132 |
6 | 305040450412144000 |
7 | 14126324365350120 |
oct | 1405742336000000 |
9 | 228272476828860 |
10 | 53184906657792 |
11 | 15a4565730a628 |
12 | 5b6b711768000 |
13 | 238a4135a3a10 |
14 | d1c23dc20c80 |
15 | 6236dc72687c |
hex | 305f13780000 |
53184906657792 has 2560 divisors, whose sum is σ = 213083861760000. Its totient is φ = 12719814082560.
The previous prime is 53184906657767. The next prime is 53184906657809. The reversal of 53184906657792 is 29775660948135.
53184906657792 is a `hidden beast` number, since 5 + 3 + 1 + 8 + 49 + 0 + 6 + 6 + 577 + 9 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 53184906657792.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1003488804838 + ... + 1003488804890.
It is an arithmetic number, because the mean of its divisors is an integer number (83235883500).
It is a 1-persistent number, because it is pandigital, but 2⋅53184906657792 = 106369813315584 is not.
Almost surely, 253184906657792 is an apocalyptic number.
53184906657792 is a gapful number since it is divisible by the number (52) 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 53184906657792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106541930880000).
53184906657792 is an abundant number, since it is smaller than the sum of its proper divisors (159898955102208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53184906657792 is an equidigital number, since it uses as much as digits as its factorization.
53184906657792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180 (or 138 counting only the distinct ones).
The product of its (nonzero) digits is 685843200, while the sum is 72.
The spelling of 53184906657792 in words is "fifty-three trillion, one hundred eighty-four billion, nine hundred six million, six hundred fifty-seven thousand, seven hundred ninety-two".
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