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2063868618240 = 293251131331167
BaseRepresentation
bin11110000010001000001…
…001111110011000000000
321022022012112220211021100
4132002020021332120000
5232303300331240430
64220043403054400
7302052405542112
oct36021011763000
97268175824240
102063868618240
11726311037000
12293ba9511400
1311c811632580
1471c6b0573b2
1538a451a2960
hex1e08827e600

2063868618240 has 1920 divisors, whose sum is σ = 8792221261824. Its totient is φ = 444270182400.

The previous prime is 2063868618199. The next prime is 2063868618241. The reversal of 2063868618240 is 428168683602.

2063868618240 is a `hidden beast` number, since 2 + 0 + 6 + 386 + 8 + 6 + 18 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2063868618241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12358494637 + ... + 12358494803.

Almost surely, 22063868618240 is an apocalyptic number.

2063868618240 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 2063868618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396110630912).

2063868618240 is an abundant number, since it is smaller than the sum of its proper divisors (6728352643584).

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

2063868618240 is a wasteful number, since it uses less digits than its factorization.

2063868618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2063868618240 in words is "two trillion, sixty-three billion, eight hundred sixty-eight million, six hundred eighteen thousand, two hundred forty".