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165163235328 = 211357213521
BaseRepresentation
bin1001100111010001111…
…1101111100000000000
3120210022111202200100000
42121310133233200000
510201223242012303
6203512553200000
714634620223300
oct2316437574000
9523274680300
10165163235328
11640553822a3
1228014a00000
1312761b7c760
147dcb547600
154469dd9da3
hex26747ef800

165163235328 has 864 divisors, whose sum is σ = 620910042480. Its totient is φ = 43475927040.

The previous prime is 165163235323. The next prime is 165163235431. The reversal of 165163235328 is 823532361561.

165163235328 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 632 + 3 + 5 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165163235323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317011708 + ... + 317012228.

Almost surely, 2165163235328 is an apocalyptic number.

165163235328 is a gapful number since it is divisible by the number (18) 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 165163235328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310455021240).

165163235328 is an abundant number, since it is smaller than the sum of its proper divisors (455746807152).

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

165163235328 is an equidigital number, since it uses as much as digits as its factorization.

165163235328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 546 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

Adding to 165163235328 its reverse (823532361561), we get a palindrome (988695596889).

The spelling of 165163235328 in words is "one hundred sixty-five billion, one hundred sixty-three million, two hundred thirty-five thousand, three hundred twenty-eight".