Base | Representation |
---|---|
bin | 1101010101110011000011… |
… | …11010100001011011100000 |
3 | 10211212112001001101220020200 |
4 | 12222321201322201123200 |
5 | 12321121134424103122 |
6 | 142220521320105200 |
7 | 6115322050145421 |
oct | 652714172413340 |
9 | 124775031356220 |
10 | 29336269362912 |
11 | 9390495295656 |
12 | 3359695305200 |
13 | 134a524194cc5 |
14 | 735c50db9648 |
15 | 35d184e3e5ac |
hex | 1aae61ea16e0 |
29336269362912 has 144 divisors (see below), whose sum is σ = 83560652164080. Its totient is φ = 9762866251776.
The previous prime is 29336269362887. The next prime is 29336269362929. The reversal of 29336269362912 is 21926396263392.
29336269362912 is a `hidden beast` number, since 2 + 9 + 3 + 3 + 6 + 269 + 362 + 9 + 1 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×293362693629122 (a number of 28 digits) contains 22 as substring.
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 29336269362912.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725066139 + ... + 725106597.
It is an arithmetic number, because the mean of its divisors is an integer number (580282306695).
Almost surely, 229336269362912 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 29336269362912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41780326082040).
29336269362912 is an abundant number, since it is smaller than the sum of its proper divisors (54224382801168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29336269362912 is a wasteful number, since it uses less digits than its factorization.
29336269362912 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 44505 (or 44494 counting only the distinct ones).
The product of its digits is 68024448, while the sum is 63.
The spelling of 29336269362912 in words is "twenty-nine trillion, three hundred thirty-six billion, two hundred sixty-nine million, three hundred sixty-two thousand, nine hundred twelve".
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