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166645334016 = 2173372312
BaseRepresentation
bin1001101100110011010…
…1100000000000000000
3120221010210121002112000
42123030311200000000
510212242201142031
6204320015504000
715016424652600
oct2331465400000
9527123532460
10166645334016
1164745a45a47
1228369228000
1312939c44925
1480cc30ac00
15450509a3e6
hex26ccd60000

166645334016 has 648 divisors, whose sum is σ = 593502237720. Its totient is φ = 46077050880.

The previous prime is 166645333961. The next prime is 166645334021. The reversal of 166645334016 is 610433546661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5375655921 + ... + 5375655951.

It is an arithmetic number, because the mean of its divisors is an integer number (915898515).

Almost surely, 2166645334016 is an apocalyptic number.

166645334016 is a gapful number since it is divisible by the number (16) 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 166645334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296751118860).

166645334016 is an abundant number, since it is smaller than the sum of its proper divisors (426856903704).

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

166645334016 is an frugal number, since it uses more digits than its factorization.

166645334016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 166645334016 in words is "one hundred sixty-six billion, six hundred forty-five million, three hundred thirty-four thousand, sixteen".