Base | Representation |
---|---|
bin | 110001111101110110101… |
… | …010010110111100000000 |
3 | 110011020220100021212021000 |
4 | 301331312222112330000 |
5 | 422224123414404432 |
6 | 11145223413532000 |
7 | 503034351521031 |
oct | 61756652267400 |
9 | 13136810255230 |
10 | 3433669684992 |
11 | 1104236026818 |
12 | 475575044000 |
13 | 1bba418a1771 |
14 | bc294a32a88 |
15 | 5e4b6ee057c |
hex | 31f76a96f00 |
3433669684992 has 288 divisors, whose sum is σ = 10627048373760. Its totient is φ = 1091527557120.
The previous prime is 3433669684981. The next prime is 3433669684997. The reversal of 3433669684992 is 2994869663343.
It is a happy number.
3433669684992 is a `hidden beast` number, since 3 + 43 + 3 + 6 + 6 + 96 + 8 + 499 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 3433669684992.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3433669684997) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53542867 + ... + 53606957.
It is an arithmetic number, because the mean of its divisors is an integer number (36899473520).
Almost surely, 23433669684992 is an apocalyptic number.
3433669684992 is a gapful number since it is divisible by the number (32) 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 3433669684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313524186880).
3433669684992 is an abundant number, since it is smaller than the sum of its proper divisors (7193378688768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3433669684992 is a wasteful number, since it uses less digits than its factorization.
3433669684992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 64476 (or 64456 counting only the distinct ones).
The product of its digits is 1088391168, while the sum is 72.
The spelling of 3433669684992 in words is "three trillion, four hundred thirty-three billion, six hundred sixty-nine million, six hundred eighty-four thousand, nine hundred ninety-two".
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