Search a number
-
+
27138062336 = 2117111753191
BaseRepresentation
bin11001010001100011…
…011111100000000000
32121001022001101221212
4121101203133200000
5421034320443321
620244514505252
71650335503160
oct312143374000
977038041855
1027138062336
11105668019a0
125314595228
13273648cc68
1414563005a0
15a8c75755b
hex6518df800

27138062336 has 384 divisors, whose sum is σ = 73365626880. Its totient is φ = 9712435200.

The previous prime is 27138062327. The next prime is 27138062423. The reversal of 27138062336 is 63326083172.

It is a junction number, because it is equal to n+sod(n) for n = 27138062293 and 27138062302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142084001 + ... + 142084191.

It is an arithmetic number, because the mean of its divisors is an integer number (191056320).

Almost surely, 227138062336 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 27138062336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36682813440).

27138062336 is an abundant number, since it is smaller than the sum of its proper divisors (46227564544).

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

27138062336 is a wasteful number, since it uses less digits than its factorization.

27138062336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 27138062336 in words is "twenty-seven billion, one hundred thirty-eight million, sixty-two thousand, three hundred thirty-six".