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27670326336 = 26322922392
BaseRepresentation
bin11001110001010001…
…111010110001000000
32122102101121012220100
4121301101322301000
5423132100420321
620413411042400
71666460615232
oct316121726100
978371535810
1027670326336
111080a1a57a4
1254428a0400
1327bc830683
1414a6c94252
15abe345326
hex67147ac40

27670326336 has 189 divisors, whose sum is σ = 82486322581. Its totient is φ = 8868131328.

The previous prime is 27670326329. The next prime is 27670326347. The reversal of 27670326336 is 63362307672.

The square root of 27670326336 is 166344.

It is a perfect power (a square), and thus also a powerful number.

27670326336 is a `hidden beast` number, since 2 + 7 + 6 + 7 + 0 + 3 + 2 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14509647936 + 13160678400 = 120456^2 + 114720^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27670326291 and 27670326300.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115775305 + ... + 115775543.

Almost surely, 227670326336 is an apocalyptic number.

27670326336 is the 166344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27670326336

27670326336 is an abundant number, since it is smaller than the sum of its proper divisors (54815996245).

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

27670326336 is an equidigital number, since it uses as much as digits as its factorization.

27670326336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 27670326336 in words is "twenty-seven billion, six hundred seventy million, three hundred twenty-six thousand, three hundred thirty-six".