Base | Representation |
---|---|
bin | 100110110111011001000… |
… | …1011111101111000100000 |
3 | 200220122200122102212200000 |
4 | 1031232302023331320200 |
5 | 1200004131230033212 |
6 | 15205525051100000 |
7 | 1060630444256364 |
oct | 115566213757040 |
9 | 20818618385600 |
10 | 5341633830432 |
11 | 177a41304a889 |
12 | 7232b2441600 |
13 | 2c99385c47a3 |
14 | 1467720752a4 |
15 | 93e3504a1dc |
hex | 4dbb22fde20 |
5341633830432 has 288 divisors, whose sum is σ = 16030898956800. Its totient is φ = 1749191915520.
The previous prime is 5341633830409. The next prime is 5341633830437. The reversal of 5341633830432 is 2340383361435.
5341633830432 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 6 + 338 + 304 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is not an unprimeable number, because it can be changed into a prime (5341633830437) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 409345444 + ... + 409358492.
It is an arithmetic number, because the mean of its divisors is an integer number (55662843600).
Almost surely, 25341633830432 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 5341633830432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015449478400).
5341633830432 is an abundant number, since it is smaller than the sum of its proper divisors (10689265126368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5341633830432 is a wasteful number, since it uses less digits than its factorization.
5341633830432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13998 (or 13978 counting only the distinct ones).
The product of its (nonzero) digits is 1866240, while the sum is 45.
The spelling of 5341633830432 in words is "five trillion, three hundred forty-one billion, six hundred thirty-three million, eight hundred thirty thousand, four hundred thirty-two".
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