| Base | Representation |
|---|---|
| bin | 11101110001001000001… |
| … | …111010000110110000000 |
| 3 | 21020120002112010202002100 |
| 4 | 131301020033100312000 |
| 5 | 232003410244043400 |
| 6 | 4203424310350400 |
| 7 | 300535165311153 |
| oct | 35611017206600 |
| 9 | 7216075122070 |
| 10 | 2045616393600 |
| 11 | 7195a514152a |
| 12 | 29055495b400 |
| 13 | 11ab93090b50 |
| 14 | 71018d31c9a |
| 15 | 38327ac6100 |
| hex | 1dc483d0d80 |
2045616393600 has 2304 divisors, whose sum is σ = 8662645555200. Its totient is φ = 455462092800.
The previous prime is 2045616393511. The next prime is 2045616393607. The reversal of 2045616393600 is 63936165402.
2045616393600 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 6 + 1 + 6 + 39 + 3 + 600 = 666.
It is a super-3 number, since 3×20456163936003 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2045616393607) by changing a digit.
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 287 ways as a sum of consecutive naturals, for example, 21088828752 + ... + 21088828848.
It is an arithmetic number, because the mean of its divisors is an integer number (3759828800).
Almost surely, 22045616393600 is an apocalyptic number.
2045616393600 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 2045616393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331322777600).
2045616393600 is an abundant number, since it is smaller than the sum of its proper divisors (6617029161600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2045616393600 is a wasteful number, since it uses less digits than its factorization.
2045616393600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 273 (or 253 counting only the distinct ones).
The product of its (nonzero) digits is 699840, while the sum is 45.
The spelling of 2045616393600 in words is "two trillion, forty-five billion, six hundred sixteen million, three hundred ninety-three thousand, six hundred".
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