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27180046080 = 28325112173137
BaseRepresentation
bin11001010100000011…
…101001011100000000
32121011020001101211100
4121110003221130000
5421131042433310
620253014414400
71651355402565
oct312403513400
977136041740
1027180046080
1110588477a00
125326661400
13274209c705
14145bb0c86c
15a9129bec0
hex6540e9700

27180046080 has 1296 divisors, whose sum is σ = 116030783232. Its totient is φ = 5839257600.

The previous prime is 27180046051. The next prime is 27180046081. The reversal of 27180046080 is 8064008172.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27180046081) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 734595822 + ... + 734595858.

Almost surely, 227180046080 is an apocalyptic number.

27180046080 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 27180046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58015391616).

27180046080 is an abundant number, since it is smaller than the sum of its proper divisors (88850737152).

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

27180046080 is a wasteful number, since it uses less digits than its factorization.

27180046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 27180046080 in words is "twenty-seven billion, one hundred eighty million, forty-six thousand, eighty".