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27032130000 = 243454231451
BaseRepresentation
bin11001001011001111…
…011001000111010000
32120202220201111010000
4121023033121013100
5420330211130000
620230212210000
71644611212431
oct311317310720
976686644100
1027032130000
1110511a29407
1252a5009900
13271a5501c5
141446207488
15a832d0000
hex64b3d91d0

27032130000 has 500 divisors, whose sum is σ = 102088296288. Its totient is φ = 6890400000.

The previous prime is 27032129987. The next prime is 27032130011. The reversal of 27032130000 is 3123072.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 18629275 + ... + 18630725.

Almost surely, 227032130000 is an apocalyptic number.

27032130000 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 27032130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51044148144).

27032130000 is an abundant number, since it is smaller than the sum of its proper divisors (75056166288).

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

27032130000 is a wasteful number, since it uses less digits than its factorization.

27032130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 27032130000 its reverse (3123072), we get a palindrome (27035253072).

The spelling of 27032130000 in words is "twenty-seven billion, thirty-two million, one hundred thirty thousand".