Search a number
-
+
118463130160128 = 210331317313716903
BaseRepresentation
bin11010111011110111011000…
…110010101100110000000000
3120112102222001020000222012000
4122323313120302230300000
5111011344442310111003
61055541113302304000
733644451541116105
oct3273673062546000
9515388036028160
10118463130160128
1134822a27714486
1211352b46728000
1351140435b8990
142137908c40aac
15da67704c91a3
hex6bbdd8cacc00

118463130160128 has 1408 divisors, whose sum is σ = 424132384112640. Its totient is φ = 32300225003520.

The previous prime is 118463130160057. The next prime is 118463130160153. The reversal of 118463130160128 is 821061031364811.

118463130160128 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 6 + 3 + 1 + 30 + 1 + 601 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7008400125 + ... + 7008417027.

Almost surely, 2118463130160128 is an apocalyptic number.

118463130160128 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 118463130160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212066192056320).

118463130160128 is an abundant number, since it is smaller than the sum of its proper divisors (305669253952512).

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

118463130160128 is a wasteful number, since it uses less digits than its factorization.

118463130160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17030 (or 17006 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 118463130160128 in words is "one hundred eighteen trillion, four hundred sixty-three billion, one hundred thirty million, one hundred sixty thousand, one hundred twenty-eight".