| Base | Representation |
|---|---|
| bin | 11110011101010011101… |
| … | …111100101000000000000 |
| 3 | 21102002112112110121010100 |
| 4 | 132131103233211000000 |
| 5 | 233243033314220100 |
| 6 | 4241311420202400 |
| 7 | 304134554626221 |
| oct | 36352357450000 |
| 9 | 7362475417110 |
| 10 | 2093054054400 |
| 11 | 7377284a2181 |
| 12 | 299793699400 |
| 13 | 1224b301581a |
| 14 | 73439225248 |
| 15 | 396a2529400 |
| hex | 1e753be5000 |
2093054054400 has 468 divisors, whose sum is σ = 7526891838492. Its totient is φ = 555913052160.
The previous prime is 2093054054383. The next prime is 2093054054407. The reversal of 2093054054400 is 44504503902.
It is a happy number.
2093054054400 is a `hidden beast` number, since 20 + 9 + 3 + 0 + 540 + 54 + 40 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 610348437504 + 1482705616896 = 781248^2 + 1217664^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2093054054407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236846782 + ... + 236855618.
It is an arithmetic number, because the mean of its divisors is an integer number (16083102219).
Almost surely, 22093054054400 is an apocalyptic number.
2093054054400 is a gapful number since it is divisible by the number (20) 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 2093054054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763445919246).
2093054054400 is an abundant number, since it is smaller than the sum of its proper divisors (5433837784092).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2093054054400 is a wasteful number, since it uses less digits than its factorization.
2093054054400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9134 (or 9104 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The spelling of 2093054054400 in words is "two trillion, ninety-three billion, fifty-four million, fifty-four thousand, four hundred".
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