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2066009911680 = 2735112132101521
BaseRepresentation
bin11110000100000111110…
…010010111000110000000
321022111201210010210122210
4132010013302113012000
5232322142014133210
64221040054302120
7302156436332121
oct36040762270600
97274653123583
102066009911680
1172720a809500
122944a6657940
1311ca9314a900
1471dd15b2048
1538b1d174e20
hex1e107c97180

2066009911680 has 1152 divisors, whose sum is σ = 7930942981920. Its totient is φ = 456867840000.

The previous prime is 2066009911661. The next prime is 2066009911709. The reversal of 2066009911680 is 861199006602.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 143 ways as a sum of consecutive naturals, for example, 3965469820 + ... + 3965470340.

Almost surely, 22066009911680 is an apocalyptic number.

2066009911680 is a gapful number since it is divisible by the number (20) 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 2066009911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965471490960).

2066009911680 is an abundant number, since it is smaller than the sum of its proper divisors (5864933070240).

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

2066009911680 is a wasteful number, since it uses less digits than its factorization.

2066009911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 2066009911680 in words is "two trillion, sixty-six billion, nine million, nine hundred eleven thousand, six hundred eighty".