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166194052343424 = 273271911315496197
BaseRepresentation
bin100101110010011100010001…
…011101000010011010000000
3210210102222220020222000122200
4211302130101131002122000
5133240410404344442144
61345244254343233200
750002060355405430
oct4562342135023200
9723388806860580
10166194052343424
1148a55557972476
121678162ba48800
1371970550a3571
142d07b995542c0
15143314e535c69
hex972711742680

166194052343424 has 768 divisors, whose sum is σ = 580886972640000. Its totient is φ = 44550785728512.

The previous prime is 166194052343369. The next prime is 166194052343441. The reversal of 166194052343424 is 424343250491661.

166194052343424 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 94 + 0 + 523 + 4 + 3 + 4 + 24 = 666.

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, 26818465894 + ... + 26818472090.

It is an arithmetic number, because the mean of its divisors is an integer number (756363245625).

Almost surely, 2166194052343424 is an apocalyptic number.

166194052343424 is a gapful number since it is divisible by the number (14) 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 166194052343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290443486320000).

166194052343424 is an abundant number, since it is smaller than the sum of its proper divisors (414692920296576).

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

166194052343424 is a wasteful number, since it uses less digits than its factorization.

166194052343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 166194052343424 in words is "one hundred sixty-six trillion, one hundred ninety-four billion, fifty-two million, three hundred forty-three thousand, four hundred twenty-four".