Base | Representation |
---|---|
bin | 1101011101011110010110… |
… | …00110000000011100000000 |
3 | 10212210201211202220102122200 |
4 | 12232233023012000130000 |
5 | 12334431323402024430 |
6 | 142542021545233200 |
7 | 6143350156022244 |
oct | 656571306003400 |
9 | 125721752812580 |
10 | 29600026986240 |
11 | 9482334620937 |
12 | 33a0825192800 |
13 | 136936958c1c9 |
14 | 744912a10424 |
15 | 364e70961460 |
hex | 1aebcb180700 |
29600026986240 has 216 divisors, whose sum is σ = 102457881734208. Its totient is φ = 7889882112000.
The previous prime is 29600026986239. The next prime is 29600026986241. The reversal of 29600026986240 is 4268962000692.
It is a happy number.
29600026986240 is a `hidden beast` number, since 2 + 9 + 6 + 0 + 0 + 0 + 2 + 6 + 9 + 8 + 624 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (29600026986239) and next prime (29600026986241).
It is a super-2 number, since 2×296000269862402 (a number of 28 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (29600026986241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25784490 + ... + 26907990.
Almost surely, 229600026986240 is an apocalyptic number.
29600026986240 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 29600026986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51228940867104).
29600026986240 is an abundant number, since it is smaller than the sum of its proper divisors (72857854747968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29600026986240 is a wasteful number, since it uses less digits than its factorization.
29600026986240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1125815 (or 1125798 counting only the distinct ones).
The product of its (nonzero) digits is 4478976, while the sum is 54.
The spelling of 29600026986240 in words is "twenty-nine trillion, six hundred billion, twenty-six million, nine hundred eighty-six thousand, two hundred forty".
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