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9942006060 = 223257534
BaseRepresentation
bin10010100001001011…
…01111100100101100
3221122212122020101200
421100211233210230
5130330123143220
64322311405500
7501241441260
oct112045574454
927585566350
109942006060
114242004338
121b15683890
13c2599362c
146a45880a0
153d2c54890
hex25096f92c

9942006060 has 180 divisors, whose sum is σ = 35128421328. Its totient is φ = 2229581952.

The previous prime is 9942006047. The next prime is 9942006083. The reversal of 9942006060 is 606002499.

9942006060 is a `hidden beast` number, since 9 + 9 + 42 + 0 + 0 + 606 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2809 × 2385 × 1484.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 187584994 + ... + 187585046.

Almost surely, 29942006060 is an apocalyptic number.

9942006060 is a gapful number since it is divisible by the number (90) 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 9942006060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564210664).

9942006060 is an abundant number, since it is smaller than the sum of its proper divisors (25186415268).

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

9942006060 is an frugal number, since it uses more digits than its factorization.

9942006060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9942006060 is about 99709.6086643609. The cubic root of 9942006060 is about 2150.2618076710.

The spelling of 9942006060 in words is "nine billion, nine hundred forty-two million, six thousand, sixty".