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118428227280 = 2435511323199
BaseRepresentation
bin110111001001011011…
…1110101011011010000
3102022200110121021200000
41232102313311123100
53420020111233110
6130223303530000
711361522215436
oct1562267653320
9368613537600
10118428227280
1146252713000
121ab51459900
13b22468573c
145a366bcd56
153131ed01c0
hex1b92df56d0

118428227280 has 960 divisors, whose sum is σ = 475769548800. Its totient is φ = 27323619840.

The previous prime is 118428227261. The next prime is 118428227297. The reversal of 118428227280 is 82722824811.

118428227280 is a `hidden beast` number, since 11 + 84 + 282 + 2 + 7 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 595116621 + ... + 595116819.

It is an arithmetic number, because the mean of its divisors is an integer number (495593280).

Almost surely, 2118428227280 is an apocalyptic number.

118428227280 is a gapful number since it is divisible by the number (10) 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 118428227280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237884774400).

118428227280 is an abundant number, since it is smaller than the sum of its proper divisors (357341321520).

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

118428227280 is a wasteful number, since it uses less digits than its factorization.

118428227280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 118428227280 in words is "one hundred eighteen billion, four hundred twenty-eight million, two hundred twenty-seven thousand, two hundred eighty".