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2066042218800 = 2435271511628857
BaseRepresentation
bin11110000100001001101…
…101100110100100110000
321022111211000221011200210
4132010021231212210300
5232322223302000200
64221043210544120
7302160311050020
oct36041155464460
97274730834623
102066042218800
11727226a752aa
122944b5438040
1311ca99a4ca51
1471dd59c1a80
1538b20e07650
hex1e109b66930

2066042218800 has 240 divisors, whose sum is σ = 7613777464832. Its totient is φ = 469110528000.

The previous prime is 2066042218787. The next prime is 2066042218829. The reversal of 2066042218800 is 88122406602.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453972 + ... + 2082828.

Almost surely, 22066042218800 is an apocalyptic number.

2066042218800 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 2066042218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806888732416).

2066042218800 is an abundant number, since it is smaller than the sum of its proper divisors (5547735246032).

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

2066042218800 is a wasteful number, since it uses less digits than its factorization.

2066042218800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629036 (or 1629025 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 2066042218800 in words is "two trillion, sixty-six billion, forty-two million, two hundred eighteen thousand, eight hundred".