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118398332344320 = 2113457172411721
BaseRepresentation
bin11010111010111011000010…
…100010101001100000000000
3120112012202210100111212110000
4122322323002202221200000
5111004314241040004240
61055451235404240000
733636666022556160
oct3272730242514000
9515182710455400
10118398332344320
11347a84a5a74396
1211342481b40000
13510abb7b70432
14213471d0ba5a0
15da4c2b95b430
hex6baec28a9800

118398332344320 has 2880 divisors, whose sum is σ = 528081954079680. Its totient is φ = 24834893414400.

The previous prime is 118398332344319. The next prime is 118398332344321. The reversal of 118398332344320 is 23443233893811.

118398332344320 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 9 + 83 + 3 + 234 + 4 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (118398332344319) and next prime (118398332344321).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118398332344321) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 68796241060 + ... + 68796242780.

It is an arithmetic number, because the mean of its divisors is an integer number (183361789611).

Almost surely, 2118398332344320 is an apocalyptic number.

118398332344320 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 118398332344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264040977039840).

118398332344320 is an abundant number, since it is smaller than the sum of its proper divisors (409683621735360).

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

118398332344320 is a wasteful number, since it uses less digits than its factorization.

118398332344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 118398332344320 in words is "one hundred eighteen trillion, three hundred ninety-eight billion, three hundred thirty-two million, three hundred forty-four thousand, three hundred twenty".