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2075306688 = 2632713172137
BaseRepresentation
bin111101110110010…
…1010101011000000
312100122001111120200
41323230222223000
513222234303223
6541533005200
7102266546550
oct17354525300
95318044520
102075306688
119755026a4
1249b023800
13270c53430
1415989d160
15c22daa43
hex7bb2aac0

2075306688 has 504 divisors, whose sum is σ = 7833981792. Its totient is φ = 511377408.

The previous prime is 2075306683. The next prime is 2075306689. The reversal of 2075306688 is 8866035702.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (2075306683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15148156 + ... + 15148292.

Almost surely, 22075306688 is an apocalyptic number.

2075306688 is a gapful number since it is divisible by the number (28) 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 2075306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916990896).

2075306688 is an abundant number, since it is smaller than the sum of its proper divisors (5758675104).

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

2075306688 is a wasteful number, since it uses less digits than its factorization.

2075306688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2075306688 is about 45555.5341094800. The cubic root of 2075306688 is about 1275.5400378964.

The spelling of 2075306688 in words is "two billion, seventy-five million, three hundred six thousand, six hundred eighty-eight".