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2066982422400 = 273252789115201
BaseRepresentation
bin11110000101000001110…
…000001100011110000000
321022121020120002110120100
4132011001300030132000
5232331140000004100
64221320354442400
7302222515462260
oct36050160143600
97277216073510
102066982422400
11727669767175
12294718293400
1311cbb978183c
14720848057a0
1538b78726400
hex1e141c0c780

2066982422400 has 576 divisors, whose sum is σ = 8523888141600. Its totient is φ = 467140608000.

The previous prime is 2066982422383. The next prime is 2066982422441. The reversal of 2066982422400 is 42242896602.

2066982422400 is a `hidden beast` number, since 20 + 66 + 98 + 242 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17884800 + ... + 18000000.

Almost surely, 22066982422400 is an apocalyptic number.

2066982422400 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 2066982422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261944070800).

2066982422400 is an abundant number, since it is smaller than the sum of its proper divisors (6456905719200).

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

2066982422400 is a wasteful number, since it uses less digits than its factorization.

2066982422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115327 (or 115307 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2066982422400 in words is "two trillion, sixty-six billion, nine hundred eighty-two million, four hundred twenty-two thousand, four hundred".