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27147442140 = 223357133171251
BaseRepresentation
bin11001010010000111…
…010001011111011100
32121001221200221122000
4121102013101133130
5421044221122030
620245451522300
71650511310430
oct312207213734
977057627560
1027147442140
11105710290a5
125317759390
1327383c5440
1414576629c0
15a8d4ab860
hex6521d17dc

27147442140 has 768 divisors, whose sum is σ = 109247201280. Its totient is φ = 5443200000.

The previous prime is 27147442139. The next prime is 27147442151. The reversal of 27147442140 is 4124474172.

27147442140 is a `hidden beast` number, since 2 + 7 + 1 + 474 + 42 + 140 = 666.

It is a super-2 number, since 2×271474421402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27147442095 and 27147442104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 108157015 + ... + 108157265.

It is an arithmetic number, because the mean of its divisors is an integer number (142248960).

Almost surely, 227147442140 is an apocalyptic number.

27147442140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27147442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54623600640).

27147442140 is an abundant number, since it is smaller than the sum of its proper divisors (82099759140).

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

27147442140 is a wasteful number, since it uses less digits than its factorization.

27147442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 27147442140 in words is "twenty-seven billion, one hundred forty-seven million, four hundred forty-two thousand, one hundred forty".