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27821536133 = 173744231377
BaseRepresentation
bin11001111010010010…
…101111001110000101
32122210221010110202012
4121322102233032011
5423434303124013
620440412024005
72003305104146
oct317222571605
978727113665
1027821536133
1110887593976
125485462005
132814c64121
1414bcdb5acd
15acc7631a8
hex67a4af385

27821536133 has 8 divisors (see below), whose sum is σ = 30254262552. Its totient is φ = 25477272576.

The previous prime is 27821536129. The next prime is 27821536147. The reversal of 27821536133 is 33163512872.

It can be written as a sum of positive squares in 4 ways, for example, as 5907767044 + 21913769089 = 76862^2 + 148033^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27821536133 - 22 = 27821536129 is a prime.

It is a super-3 number, since 3×278215361333 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27821536123) 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 7 ways as a sum of consecutive naturals, for example, 22115060 + ... + 22116317.

It is an arithmetic number, because the mean of its divisors is an integer number (3781782819).

Almost surely, 227821536133 is an apocalyptic number.

It is an amenable number.

27821536133 is a deficient number, since it is larger than the sum of its proper divisors (2432726419).

27821536133 is a wasteful number, since it uses less digits than its factorization.

27821536133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44231431.

The product of its digits is 181440, while the sum is 41.

The spelling of 27821536133 in words is "twenty-seven billion, eight hundred twenty-one million, five hundred thirty-six thousand, one hundred thirty-three".

Divisors: 1 17 37 629 44231377 751933409 1636560949 27821536133