| Base | Representation |
|---|---|
| bin | 110001100011011101101… |
| … | …000101111110100000000 |
| 3 | 110001112202110221222200000 |
| 4 | 301203131220233310000 |
| 5 | 421243110112413033 |
| 6 | 11124215502400000 |
| 7 | 501012213016620 |
| oct | 61433550576400 |
| 9 | 13045673858600 |
| 10 | 3405332544768 |
| 11 | 10a3214498970 |
| 12 | 46bb86b90000 |
| 13 | 1b9176b80c7b |
| 14 | bab673a2880 |
| 15 | 5d8a9380a13 |
| hex | 318dda2fd00 |
3405332544768 has 3456 divisors, whose sum is σ = 14810799144960. Its totient is φ = 752467968000.
The previous prime is 3405332544703. The next prime is 3405332544769. The reversal of 3405332544768 is 8674452335043.
3405332544768 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 3 + 32 + 544 + 7 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-2 number, since 2×34053325447682 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3405332544769) by changing a digit.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47962430173 + ... + 47962430243.
It is an arithmetic number, because the mean of its divisors is an integer number (4285532160).
Almost surely, 23405332544768 is an apocalyptic number.
3405332544768 is a gapful number since it is divisible by the number (38) 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 3405332544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405399572480).
3405332544768 is an abundant number, since it is smaller than the sum of its proper divisors (11405466600192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3405332544768 is a wasteful number, since it uses less digits than its factorization.
3405332544768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 187 (or 161 counting only the distinct ones).
The product of its (nonzero) digits is 29030400, while the sum is 54.
The spelling of 3405332544768 in words is "three trillion, four hundred five billion, three hundred thirty-two million, five hundred forty-four thousand, seven hundred sixty-eight".
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