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2081723904 = 293213193159
BaseRepresentation
bin111110000010100…
…1001011000000000
312101002010112100100
41330011021120000
513230410131104
6542322322400
7102405234621
oct17405113000
95332115310
102081723904
11979095a87
124a11b9400
1327238c2c0
1415a68da48
15c2b57139
hex7c149600

2081723904 has 480 divisors, whose sum is σ = 7149542400. Its totient is φ = 577290240.

The previous prime is 2081723879. The next prime is 2081723911. The reversal of 2081723904 is 4093271802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35283427 + ... + 35283485.

It is an arithmetic number, because the mean of its divisors is an integer number (14894880).

Almost surely, 22081723904 is an apocalyptic number.

2081723904 is a gapful number since it is divisible by the number (24) 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 2081723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574771200).

2081723904 is an abundant number, since it is smaller than the sum of its proper divisors (5067818496).

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

2081723904 is a wasteful number, since it uses less digits than its factorization.

2081723904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2081723904 is about 45625.9126374476. The cubic root of 2081723904 is about 1276.8534170276.

The spelling of 2081723904 in words is "two billion, eighty-one million, seven hundred twenty-three thousand, nine hundred four".