| Base | Representation |
|---|---|
| bin | 11000001111101010100010… |
| … | …00000110011101000000000 |
| 3 | 20222202211210020222112102000 |
| 4 | 30013311101000303220000 |
| 5 | 23442002141240224300 |
| 6 | 305220250420424000 |
| 7 | 14141603103343125 |
| oct | 1407652100635000 |
| 9 | 228684706875360 |
| 10 | 53314788211200 |
| 11 | 15a9574703900a |
| 12 | 5b9091a848000 |
| 13 | 2399741a766b9 |
| 14 | d2464169674c |
| 15 | 626c8ee8ec00 |
| hex | 307d51033a00 |
53314788211200 has 960 divisors, whose sum is σ = 213094615536000. Its totient is φ = 13004504432640.
The previous prime is 53314788211199. The next prime is 53314788211231. The reversal of 53314788211200 is 211288741335.
53314788211200 is a `hidden beast` number, since 5 + 3 + 31 + 478 + 8 + 21 + 120 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×533147882112002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 190285612 + ... + 190565588.
It is an arithmetic number, because the mean of its divisors is an integer number (221973557850).
Almost surely, 253314788211200 is an apocalyptic number.
53314788211200 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 53314788211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106547307768000).
53314788211200 is an abundant number, since it is smaller than the sum of its proper divisors (159779827324800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53314788211200 is a wasteful number, since it uses less digits than its factorization.
53314788211200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 280062 (or 280035 counting only the distinct ones).
The product of its (nonzero) digits is 322560, while the sum is 45.
The spelling of 53314788211200 in words is "fifty-three trillion, three hundred fourteen billion, seven hundred eighty-eight million, two hundred eleven thousand, two hundred".
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