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132111261408 = 25372416531049
BaseRepresentation
bin111101100001001110…
…0011101111011100000
3110122000001122102210210
41323002130131323200
54131030440331113
6140405134454120
712354561123300
oct1730234357340
9418001572723
10132111261408
11510343aa075
122172b964340
13c5c5406439
146573a47600
1536833a26c3
hex1ec271dee0

132111261408 has 288 divisors, whose sum is σ = 414277869600. Its totient is φ = 36733992960.

The previous prime is 132111261397. The next prime is 132111261433. The reversal of 132111261408 is 804162111231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125939668 + ... + 125940716.

It is an arithmetic number, because the mean of its divisors is an integer number (1438464825).

Almost surely, 2132111261408 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 132111261408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207138934800).

132111261408 is an abundant number, since it is smaller than the sum of its proper divisors (282166608192).

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

132111261408 is a wasteful number, since it uses less digits than its factorization.

132111261408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 132111261408 its reverse (804162111231), we get a palindrome (936273372639).

The spelling of 132111261408 in words is "one hundred thirty-two billion, one hundred eleven million, two hundred sixty-one thousand, four hundred eight".