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2063805120 = 2632513199277
BaseRepresentation
bin111101100000011…
…0010101011000000
312022211102011101200
41323000302223000
513211313230440
6540442301200
7102100024356
oct17300625300
95284364350
102063805120
11969a67373
124971b7800
1326b757280
141581477d6
15c12b7c30
hex7b032ac0

2063805120 has 336 divisors, whose sum is σ = 7710830400. Its totient is φ = 503635968.

The previous prime is 2063805089. The next prime is 2063805181. The reversal of 2063805120 is 215083602.

2063805120 is a `hidden beast` number, since 2 + 0 + 638 + 0 + 5 + 1 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7450422 + ... + 7450698.

It is an arithmetic number, because the mean of its divisors is an integer number (22948900).

Almost surely, 22063805120 is an apocalyptic number.

2063805120 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 2063805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855415200).

2063805120 is an abundant number, since it is smaller than the sum of its proper divisors (5647025280).

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

2063805120 is a wasteful number, since it uses less digits than its factorization.

2063805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2063805120 is about 45429.1219373652. The cubic root of 2063805120 is about 1273.1792789573.

Adding to 2063805120 its reverse (215083602), we get a palindrome (2278888722).

The spelling of 2063805120 in words is "two billion, sixty-three million, eight hundred five thousand, one hundred twenty".