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118381808647872 = 263272111764334883
BaseRepresentation
bin11010111010101011101001…
…101001101111111011000000
3120112011012010210021010011200
4122322223221221233323000
5111004031421003212442
61055435504020141200
733635542401506100
oct3272535151577300
9515135123233150
10118381808647872
11347a1496857710
121133b230237800
135109483756363
1421339d2785200
15da45b0ebb34c
hex6baae9a6fec0

118381808647872 has 1008 divisors, whose sum is σ = 456654587905152. Its totient is φ = 28893949378560.

The previous prime is 118381808647849. The next prime is 118381808647903. The reversal of 118381808647872 is 278746808183811.

118381808647872 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 8 + 1 + 8 + 0 + 86 + 478 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 118381808647872.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3393664543 + ... + 3393699425.

It is an arithmetic number, because the mean of its divisors is an integer number (453030345144).

Almost surely, 2118381808647872 is an apocalyptic number.

118381808647872 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 118381808647872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228327293952576).

118381808647872 is an abundant number, since it is smaller than the sum of its proper divisors (338272779257280).

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

118381808647872 is a wasteful number, since it uses less digits than its factorization.

118381808647872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35586 (or 35566 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 72.

The spelling of 118381808647872 in words is "one hundred eighteen trillion, three hundred eighty-one billion, eight hundred eight million, six hundred forty-seven thousand, eight hundred seventy-two".