Base | Representation |
---|---|
bin | 1101010101111000100000… |
… | …01101111100110011101000 |
3 | 10211212210120212001011202000 |
4 | 12222330100031330303220 |
5 | 12321143132041110433 |
6 | 142222123422411000 |
7 | 6115454366423361 |
oct | 652742015746350 |
9 | 124783525034660 |
10 | 29339193691368 |
11 | 9391755a70930 |
12 | 335a170730a60 |
13 | 134a89bca3382 |
14 | 73604b524b68 |
15 | 35d2a6a37113 |
hex | 1aaf1037cce8 |
29339193691368 has 512 divisors, whose sum is σ = 95128653312000. Its totient is φ = 8290723921920.
The previous prime is 29339193691343. The next prime is 29339193691411. The reversal of 29339193691368 is 86319639193392.
29339193691368 is a `hidden beast` number, since 2 + 9 + 3 + 3 + 91 + 93 + 6 + 91 + 368 = 666.
It is a super-2 number, since 2×293391936913682 (a number of 28 digits) contains 22 as substring.
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 junction number, because it is equal to n+sod(n) for n = 29339193691296 and 29339193691305.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 355116048 + ... + 355198656.
It is an arithmetic number, because the mean of its divisors is an integer number (185798151000).
Almost surely, 229339193691368 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 29339193691368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47564326656000).
29339193691368 is an abundant number, since it is smaller than the sum of its proper divisors (65789459620632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29339193691368 is a wasteful number, since it uses less digits than its factorization.
29339193691368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 82822 (or 82812 counting only the distinct ones).
The product of its digits is 306110016, while the sum is 72.
The spelling of 29339193691368 in words is "twenty-nine trillion, three hundred thirty-nine billion, one hundred ninety-three million, six hundred ninety-one thousand, three hundred sixty-eight".
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