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27324247104 = 263473112127
BaseRepresentation
bin11001011100101001…
…101110110001000000
32121112021101120110000
4121130221232301000
5421430001401404
620315205240000
71655056161000
oct313451566100
977467346400
1027324247104
1110651909300
125366a03000
132765c1ac6b
141472d28000
15a9dc83339
hex65ca6ec40

27324247104 has 840 divisors, whose sum is σ = 104643123200. Its totient is φ = 7041323520.

The previous prime is 27324247099. The next prime is 27324247117. The reversal of 27324247104 is 40174242372.

27324247104 is a `hidden beast` number, since 273 + 242 + 47 + 104 = 666.

It is a super-2 number, since 2×273242471042 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 215151489 + ... + 215151615.

Almost surely, 227324247104 is an apocalyptic number.

27324247104 is a gapful number since it is divisible by the number (24) 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 27324247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52321561600).

27324247104 is an abundant number, since it is smaller than the sum of its proper divisors (77318876096).

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

27324247104 is a wasteful number, since it uses less digits than its factorization.

27324247104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 27324247104 its reverse (40174242372), we get a palindrome (67498489476).

The spelling of 27324247104 in words is "twenty-seven billion, three hundred twenty-four million, two hundred forty-seven thousand, one hundred four".