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118000045728 = 253631163171
BaseRepresentation
bin110110111100101011…
…0011100111010100000
3102021120121220102000000
41231321112130322200
53413131002430403
6130113010300000
711345102560635
oct1557126347240
9367517812000
10118000045728
1146052a49954
121aa51b87600
13b186a57a86
1459d58a018c
1531096017a3
hex1b7959cea0

118000045728 has 168 divisors, whose sum is σ = 359547543936. Its totient is φ = 38064297600.

The previous prime is 118000045727. The next prime is 118000045729. The reversal of 118000045728 is 827540000811.

118000045728 is a `hidden beast` number, since 1 + 1 + 80 + 0 + 0 + 0 + 4 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (118000045727) and next prime (118000045729).

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

It is a junction number, because it is equal to n+sod(n) for n = 118000045692 and 118000045701.

It is not an unprimeable number, because it can be changed into a prime (118000045727) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 641583 + ... + 804753.

It is an arithmetic number, because the mean of its divisors is an integer number (2140163952).

Almost surely, 2118000045728 is an apocalyptic number.

118000045728 is a gapful number since it is divisible by the number (18) 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 118000045728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179773771968).

118000045728 is an abundant number, since it is smaller than the sum of its proper divisors (241547498208).

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

118000045728 is an equidigital number, since it uses as much as digits as its factorization.

118000045728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163230 (or 163207 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 118000045728 in words is "one hundred eighteen billion, forty-five thousand, seven hundred twenty-eight".