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132489333504 = 2834111921609
BaseRepresentation
bin111101101100011111…
…0101100101100000000
3110122222102001111020000
41323120332230230000
54132314232133004
6140510442120000
712400131516303
oct1733076545400
9418872044200
10132489333504
1151208858250
12218164b0000
13c65583ac38
1465abd40b3a
1536a6683c39
hex1ed8facb00

132489333504 has 540 divisors, whose sum is σ = 455133044520. Its totient is φ = 38011576320.

The previous prime is 132489333481. The next prime is 132489333569. The reversal of 132489333504 is 405333984231.

132489333504 is a `hidden beast` number, since 1 + 3 + 24 + 8 + 93 + 33 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132489333504.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 82341852 + ... + 82343460.

Almost surely, 2132489333504 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 132489333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227566522260).

132489333504 is an abundant number, since it is smaller than the sum of its proper divisors (322643711016).

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

132489333504 is a wasteful number, since it uses less digits than its factorization.

132489333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 132489333504 in words is "one hundred thirty-two billion, four hundred eighty-nine million, three hundred thirty-three thousand, five hundred four".