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132006944520 = 23325111271991319
BaseRepresentation
bin111101011110000111…
…0100001111100001000
3110121201210100120221100
41322330032201330020
54130322234211040
6140350530541400
712352153341363
oct1727416417410
9417653316840
10132006944520
1150a9052a270
1221700a37860
13c5a9910a79
146563c510da
153679148b30
hex1ebc3a1f08

132006944520 has 384 divisors, whose sum is σ = 474439680000. Its totient is φ = 31566205440.

The previous prime is 132006944519. The next prime is 132006944521. The reversal of 132006944520 is 25449600231.

It is a happy number.

132006944520 is a `hidden beast` number, since 1 + 3 + 200 + 6 + 9 + 445 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132006944519) and next prime (132006944521).

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 (132006944521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100080421 + ... + 100081739.

It is an arithmetic number, because the mean of its divisors is an integer number (1235520000).

Almost surely, 2132006944520 is an apocalyptic number.

132006944520 is a gapful number since it is divisible by the number (10) 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 132006944520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237219840000).

132006944520 is an abundant number, since it is smaller than the sum of its proper divisors (342432735480).

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

132006944520 is a wasteful number, since it uses less digits than its factorization.

132006944520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 132006944520 in words is "one hundred thirty-two billion, six million, nine hundred forty-four thousand, five hundred twenty".