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2000050000 = 24551317181
BaseRepresentation
bin111011100110110…
…0101011101010000
312011101110001210221
41313031211131100
513044003100000
6530244002424
7100364100364
oct16715453520
95141401727
102000050000
11936a81193
12479990414
1325b494050
1414d8ad2a4
15ba8c261a
hex77365750

2000050000 has 240 divisors, whose sum is σ = 5553488304. Its totient is φ = 691200000.

The previous prime is 2000049977. The next prime is 2000050007. The reversal of 2000050000 is 500002.

It can be written as a sum of positive squares in 24 ways, for example, as 1085834304 + 914215696 = 32952^2 + 30236^2 .

It is a sliding number, since 2000050000 = 50000 + 2000000000 and 1/50000 + 1/2000000000 = 0.00002000050000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000050007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11049910 + ... + 11050090.

Almost surely, 22000050000 is an apocalyptic number.

2000050000 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 2000050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776744152).

2000050000 is an abundant number, since it is smaller than the sum of its proper divisors (3553438304).

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

2000050000 is a wasteful number, since it uses less digits than its factorization.

2000050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 2000050000 is about 44721.9185634964. The cubic root of 2000050000 is about 1259.9315491495.

Adding to 2000050000 its reverse (500002), we get a palindrome (2000550002).

It can be divided in two parts, 20000 and 50000, that multiplied together give a 9-th power (1000000000 = 109).

The spelling of 2000050000 in words is "two billion, fifty thousand", and thus it is an eban number.