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132325359664176 = 2432717196133120129
BaseRepresentation
bin11110000101100101100110…
…000011101011110000110000
3122100112011212211110120210100
4132011211212003223300300
5114321004314033223201
61145233233033432400
736605122524551160
oct3605454603536060
9570464784416710
10132325359664176
11391879628a7358
1212a1165b26b700
1358ab2c683c5b3
14249681dbdc5a0
15104714629e886
hex7859660ebc30

132325359664176 has 960 divisors, whose sum is σ = 480918054988800. Its totient is φ = 33056037273600.

The previous prime is 132325359664139. The next prime is 132325359664229. The reversal of 132325359664176 is 671466953523231.

132325359664176 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 535 + 96 + 6 + 4 + 1 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6573856480 + ... + 6573876608.

It is an arithmetic number, because the mean of its divisors is an integer number (500956307280).

Almost surely, 2132325359664176 is an apocalyptic number.

132325359664176 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 132325359664176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240459027494400).

132325359664176 is an abundant number, since it is smaller than the sum of its proper divisors (348592695324624).

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

132325359664176 is a wasteful number, since it uses less digits than its factorization.

132325359664176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20578 (or 20569 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 132325359664176 in words is "one hundred thirty-two trillion, three hundred twenty-five billion, three hundred fifty-nine million, six hundred sixty-four thousand, one hundred seventy-six".