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5002000000 = 27564161
BaseRepresentation
bin1001010100010010…
…00111011010000000
3110220121010221001021
410222021013122000
540221003000000
62144202115224
7234645204244
oct45211073200
913817127037
105002000000
1121375536a8
12b771abb14
136193ac01a
14356462424
151e41ee11a
hex12a247680

5002000000 has 224 divisors, whose sum is σ = 12968974620. Its totient is φ = 1920000000.

The previous prime is 5001999997. The next prime is 5002000001. The reversal of 5002000000 is 2005.

It can be written as a sum of positive squares in 14 ways, for example, as 4754378304 + 247621696 = 68952^2 + 15736^2 .

It is a sliding number, since 5002000000 = 2000000 + 5000000000 and 1/2000000 + 1/5000000000 = 0.0000005002000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81999970 + ... + 82000030.

Almost surely, 25002000000 is an apocalyptic number.

5002000000 is a gapful number since it is divisible by the number (50) 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 5002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484487310).

5002000000 is an abundant number, since it is smaller than the sum of its proper divisors (7966974620).

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

5002000000 is an frugal number, since it uses more digits than its factorization.

5002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

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

The square root of 5002000000 is about 70724.8188403477. The cubic root of 5002000000 is about 1710.2039130768.

Adding to 5002000000 its reverse (2005), we get a palindrome (5002002005).

It can be divided in two parts, 500 and 2000000, that multiplied together give a 9-th power (1000000000 = 109).

The spelling of 5002000000 in words is "five billion, two million", and thus it is an aban number and an uban number.