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27081324540 = 2235561167547
BaseRepresentation
bin11001001110001011…
…000011011111111100
32120220100021211100000
4121032023003133330
5420430304341130
620235130434300
71646046313644
oct311613033774
976810254300
1027081324540
1110537779a56
1252b9592990
1327277b5aba
14144c971524
15a8779b260
hex64e2c37fc

27081324540 has 288 divisors, whose sum is σ = 87263414784. Its totient is φ = 7047855360.

The previous prime is 27081324497. The next prime is 27081324563. The reversal of 27081324540 is 4542318072.

It is a happy number.

27081324540 is a `hidden beast` number, since 2 + 7 + 0 + 81 + 32 + 4 + 540 = 666.

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 = 27081324495 and 27081324504.

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, 49508547 + ... + 49509093.

It is an arithmetic number, because the mean of its divisors is an integer number (302997968).

Almost surely, 227081324540 is an apocalyptic number.

27081324540 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 27081324540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43631707392).

27081324540 is an abundant number, since it is smaller than the sum of its proper divisors (60182090244).

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

27081324540 is a wasteful number, since it uses less digits than its factorization.

27081324540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 27081324540 in words is "twenty-seven billion, eighty-one million, three hundred twenty-four thousand, five hundred forty".