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132426443808 = 25341931127683
BaseRepresentation
bin111101101010100111…
…0110010110000100000
3110122211000201100210000
41323111032302300200
54132202132200213
6140500314140000
712365436125361
oct1732516626040
9418730640700
10132426443808
115118630329a
12217b9421600
13c6457bb8b9
1465a384db68
1536a0daec73
hex1ed53b2c20

132426443808 has 480 divisors, whose sum is σ = 427141693440. Its totient is φ = 40092433920.

The previous prime is 132426443803. The next prime is 132426443861. The reversal of 132426443808 is 808344624231.

It is a happy number.

132426443808 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 264 + 4 + 380 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (132426443801) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 193889035 + ... + 193889717.

It is an arithmetic number, because the mean of its divisors is an integer number (889878528).

Almost surely, 2132426443808 is an apocalyptic number.

132426443808 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 132426443808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213570846720).

132426443808 is an abundant number, since it is smaller than the sum of its proper divisors (294715249632).

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

132426443808 is a wasteful number, since it uses less digits than its factorization.

132426443808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 132426443808 in words is "one hundred thirty-two billion, four hundred twenty-six million, four hundred forty-three thousand, eight hundred eight".