Search a number
-
+
27906043536 = 243478337061
BaseRepresentation
bin11001111111010101…
…000110111010010000
32200000211010220010000
4121333111012322100
5424122421343121
620453031210000
72005352312340
oct317725067220
980024126100
1027906043536
11109202635a8
1254a9816900
132829611cc7
1414ca2d2d20
15ad4da7526
hex67f546e90

27906043536 has 200 divisors, whose sum is σ = 93421145664. Its totient is φ = 7876880640.

The previous prime is 27906043513. The next prime is 27906043549. The reversal of 27906043536 is 63534060972.

27906043536 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 604 + 3 + 5 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27906043491 and 27906043500.

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 39 ways as a sum of consecutive naturals, for example, 734446 + ... + 771506.

Almost surely, 227906043536 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 27906043536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46710572832).

27906043536 is an abundant number, since it is smaller than the sum of its proper divisors (65515102128).

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

27906043536 is a wasteful number, since it uses less digits than its factorization.

27906043536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37171 (or 37156 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 27906043536 in words is "twenty-seven billion, nine hundred six million, forty-three thousand, five hundred thirty-six".