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27004320000 = 28335471947
BaseRepresentation
bin11001001001100101…
…010011100100000000
32120200222101120222000
4121021211103210000
5420301101220000
620223340144000
71644122634630
oct311145234400
976628346860
1027004320000
11104a8264339
125297838000
132714863c98
1414426486c0
15a80b3a000
hex649953900

27004320000 has 1440 divisors, whose sum is σ = 122600755200. Its totient is φ = 5723136000.

The previous prime is 27004319983. The next prime is 27004320011. The reversal of 27004320000 is 2340072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 574559977 + ... + 574560023.

Almost surely, 227004320000 is an apocalyptic number.

27004320000 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 27004320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61300377600).

27004320000 is an abundant number, since it is smaller than the sum of its proper divisors (95596435200).

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

27004320000 is an equidigital number, since it uses as much as digits as its factorization.

27004320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 27004320000 its reverse (2340072), we get a palindrome (27006660072).

It can be divided in two parts, 2700 and 4320000, that multiplied together give a square (11664000000 = 1080002).

The spelling of 27004320000 in words is "twenty-seven billion, four million, three hundred twenty thousand".