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132003330600960 = 2123557131923229
BaseRepresentation
bin11110000000111001101011…
…101000010011000000000000
3122022101101200001222012100000
4132000321223220103000000
5114300220310113212320
61144425254245200000
736542632405642440
oct3600715350230000
9568341601865300
10132003330600960
1139073330893895
121297b168400000
135886b25b54250
142484dd1112120
15103da99b70c90
hex780e6ba13000

132003330600960 has 7488 divisors, whose sum is σ = 664789213670400. Its totient is φ = 24367922675712.

The previous prime is 132003330600917. The next prime is 132003330601019. The reversal of 132003330600960 is 69006033300231.

132003330600960 is a `hidden beast` number, since 1 + 3 + 200 + 3 + 330 + 60 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (7488).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4551838986226 + ... + 4551838986254.

It is an arithmetic number, because the mean of its divisors is an integer number (88780610800).

Almost surely, 2132003330600960 is an apocalyptic number.

132003330600960 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 132003330600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332394606835200).

132003330600960 is an abundant number, since it is smaller than the sum of its proper divisors (532785883069440).

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

132003330600960 is a wasteful number, since it uses less digits than its factorization.

132003330600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 132003330600960 in words is "one hundred thirty-two trillion, three billion, three hundred thirty million, six hundred thousand, nine hundred sixty".