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27804009684 = 2231132636619
BaseRepresentation
bin11001111001001111…
…111000010011010100
32122202201011000222110
4121321033320103110
5423420311302214
620434544231020
72003003116503
oct317117702324
978681130873
1027804009684
1110878703000
12547b60b470
132811438849
1414ba93283a
15acae50159
hex6793f84d4

27804009684 has 96 divisors (see below), whose sum is σ = 71640898560. Its totient is φ = 8392153440.

The previous prime is 27804009661. The next prime is 27804009703. The reversal of 27804009684 is 48690040872.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4197327 + ... + 4203945.

It is an arithmetic number, because the mean of its divisors is an integer number (746259360).

Almost surely, 227804009684 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 27804009684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35820449280).

27804009684 is an abundant number, since it is smaller than the sum of its proper divisors (43836888876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27804009684 is a wasteful number, since it uses less digits than its factorization.

27804009684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 27804009684 in words is "twenty-seven billion, eight hundred four million, nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 263 363 484 526 726 789 1052 1331 1452 1578 2662 2893 3156 3993 5324 5786 6619 7986 8679 11572 13238 15972 17358 19857 26476 31823 34716 39714 63646 72809 79428 95469 127292 145618 190938 218427 291236 350053 381876 436854 700106 800899 873708 1050159 1400212 1601798 1740797 2100318 2402697 3203596 3481594 4200636 4805394 5222391 6963188 8809889 9610788 10444782 17619778 19148767 20889564 26429667 35239556 38297534 52859334 57446301 76595068 105718668 114892602 210636437 229785204 421272874 631909311 842545748 1263818622 2317000807 2527637244 4634001614 6951002421 9268003228 13902004842 27804009684