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12942732132 = 2232111923292579
BaseRepresentation
bin11000000110111001…
…00110101101100100
31020102000000220201100
430003130212231210
5203001314412012
65540143400100
7635506256631
oct140334465544
936360026640
1012942732132
115541920240
1226125b3030
1312b35704a5
148aacdd188
1550b3dd8dc
hex303726b64

12942732132 has 288 divisors, whose sum is σ = 40569984000. Its totient is φ = 3430183680.

The previous prime is 12942732083. The next prime is 12942732133. The reversal of 12942732132 is 23123724921.

12942732132 is a `hidden beast` number, since 12 + 9 + 427 + 3 + 213 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12942732133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5017219 + ... + 5019797.

It is an arithmetic number, because the mean of its divisors is an integer number (140868000).

Almost surely, 212942732132 is an apocalyptic number.

12942732132 is a gapful number since it is divisible by the number (12) 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 12942732132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284992000).

12942732132 is an abundant number, since it is smaller than the sum of its proper divisors (27627251868).

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

12942732132 is a wasteful number, since it uses less digits than its factorization.

12942732132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2666 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 12942732132 in words is "twelve billion, nine hundred forty-two million, seven hundred thirty-two thousand, one hundred thirty-two".