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132159879768 = 23373124319037
BaseRepresentation
bin111101100010101010…
…1111011101001011000
3110122010110010111122210
41323011111323221120
54131130412123033
6140414032515120
712356021304630
oct1730525735130
9418113114583
10132159879768
1151059896834
12217440abaa0
13c6024c99b7
14657a2a16c0
1536877a7d63
hex1ec557ba58

132159879768 has 192 divisors, whose sum is σ = 399267982080. Its totient is φ = 35690215680.

The previous prime is 132159879697. The next prime is 132159879769. The reversal of 132159879768 is 867978951231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132159879699 and 132159879708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132159879769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6932746 + ... + 6951782.

It is an arithmetic number, because the mean of its divisors is an integer number (2079520740).

Almost surely, 2132159879768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132159879768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199633991040).

132159879768 is an abundant number, since it is smaller than the sum of its proper divisors (267108102312).

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

132159879768 is a wasteful number, since it uses less digits than its factorization.

132159879768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19158 (or 19123 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 66.

The spelling of 132159879768 in words is "one hundred thirty-two billion, one hundred fifty-nine million, eight hundred seventy-nine thousand, seven hundred sixty-eight".