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118049966461440 = 29325133197131071
BaseRepresentation
bin11010110101110110100110…
…010100010001001000000000
3120110222110121010122102100100
4122311312212110101020000
5110433112312403231230
61055023223402322400
733602554134454566
oct3265664624211000
9513873533572310
10118049966461440
1134683789569462
12112a6a5aab9400
1350b40aa9c1820
14212191269da36
15d9ab3d0e5660
hex6b5da6511200

118049966461440 has 960 divisors, whose sum is σ = 459181362511872. Its totient is φ = 27830963404800.

The previous prime is 118049966461421. The next prime is 118049966461523. The reversal of 118049966461440 is 44164669940811.

118049966461440 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 4 + 9 + 9 + 6 + 6 + 4 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 900591105 + ... + 900722175.

Almost surely, 2118049966461440 is an apocalyptic number.

118049966461440 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 118049966461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229590681255936).

118049966461440 is an abundant number, since it is smaller than the sum of its proper divisors (341131396050432).

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

118049966461440 is a wasteful number, since it uses less digits than its factorization.

118049966461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131241 (or 131222 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 118049966461440 in words is "one hundred eighteen trillion, forty-nine billion, nine hundred sixty-six million, four hundred sixty-one thousand, four hundred forty".