Search a number
-
+
27147442896 = 2435719471117
BaseRepresentation
bin11001010010000111…
…010001101011010000
32121001221200222200000
4121102013101223100
5421044221133041
620245451530000
71650511312560
oct312207215320
977057628600
1027147442896
1110571029722
125317759900
1327383c58a2
141457662da0
15a8d4abbb6
hex6521d1ad0

27147442896 has 480 divisors, whose sum is σ = 96887132160. Its totient is φ = 7185397248.

The previous prime is 27147442879. The next prime is 27147442913. The reversal of 27147442896 is 69824474172.

27147442896 is a `hidden beast` number, since 2 + 71 + 47 + 442 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (27147442879) and next prime (27147442913).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24303330 + ... + 24304446.

It is an arithmetic number, because the mean of its divisors is an integer number (201848192).

Almost surely, 227147442896 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 27147442896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48443566080).

27147442896 is an abundant number, since it is smaller than the sum of its proper divisors (69739689264).

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

27147442896 is a wasteful number, since it uses less digits than its factorization.

27147442896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1195 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 27147442896 in words is "twenty-seven billion, one hundred forty-seven million, four hundred forty-two thousand, eight hundred ninety-six".