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118456306332 = 2237133117472003
BaseRepresentation
bin110111001010010001…
…0111100101010011100
3102022202102102211212220
41232110202330222130
53420044303300312
6130230145425340
711362312663530
oct1562442745234
9368672384786
10118456306332
1146267551231
121ab5a93b250
13b22a437270
145a3a30bbc0
1531346c9c8c
hex1b948bca9c

118456306332 has 192 divisors, whose sum is σ = 351532253184. Its totient is φ = 30201050880.

The previous prime is 118456306327. The next prime is 118456306343. The reversal of 118456306332 is 233603654811.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59138443 + ... + 59140445.

It is an arithmetic number, because the mean of its divisors is an integer number (1830897152).

Almost surely, 2118456306332 is an apocalyptic number.

118456306332 is a gapful number since it is divisible by the number (12) 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 118456306332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175766126592).

118456306332 is an abundant number, since it is smaller than the sum of its proper divisors (233075946852).

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

118456306332 is a wasteful number, since it uses less digits than its factorization.

118456306332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 118456306332 in words is "one hundred eighteen billion, four hundred fifty-six million, three hundred six thousand, three hundred thirty-two".