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27683829090 = 2325461667241
BaseRepresentation
bin11001110010000101…
…011011010101100010
32122110100000020012100
4121302011123111202
5423144030012330
620415012311230
72000013443661
oct316205332542
978410006170
1027683829090
11108168885a5
125447312516
1327c257a678
1414a89aadd8
15ac0611060
hex67215b562

27683829090 has 48 divisors (see below), whose sum is σ = 72134198136. Its totient is φ = 7366329600.

The previous prime is 27683829079. The next prime is 27683829091. The reversal of 27683829090 is 9092838672.

It is a happy number.

27683829090 is a `hidden beast` number, since 276 + 83 + 8 + 290 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16080015249 + 11603813841 = 126807^2 + 107721^2 .

It is not an unprimeable number, because it can be changed into a prime (27683829091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292131 + ... + 375110.

Almost surely, 227683829090 is an apocalyptic number.

27683829090 is an abundant number, since it is smaller than the sum of its proper divisors (44450369046).

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

27683829090 is a wasteful number, since it uses less digits than its factorization.

27683829090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667715 (or 667712 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 27683829090 in words is "twenty-seven billion, six hundred eighty-three million, eight hundred twenty-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 461 922 1383 2305 2766 4149 4610 6915 8298 13830 20745 41490 667241 1334482 2001723 3336205 4003446 6005169 6672410 10008615 12010338 20017230 30025845 60051690 307598101 615196202 922794303 1537990505 1845588606 2768382909 3075981010 4613971515 5536765818 9227943030 13841914545 27683829090