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5217030000 = 24325473132
BaseRepresentation
bin1001101101111010…
…11000111101110000
3111110120202120202100
410312331120331300
541141024430000
62221403020400
7243166011000
oct46675307560
914416676670
105217030000
112237971946
12101720a700
13651ac9500
14376c38000
15208026a00
hex136f58f70

5217030000 has 900 divisors, whose sum is σ = 23039187600. Its totient is φ = 1100736000.

The previous prime is 5217029999. The next prime is 5217030017. The reversal of 5217030000 is 307125.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 401309994 + ... + 401310006.

Almost surely, 25217030000 is an apocalyptic number.

5217030000 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 5217030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11519593800).

5217030000 is an abundant number, since it is smaller than the sum of its proper divisors (17822157600).

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

5217030000 is a wasteful number, since it uses less digits than its factorization.

5217030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5217030000 is about 72229.0107920633. The cubic root of 5217030000 is about 1734.3674384866.

Adding to 5217030000 its reverse (307125), we get a palindrome (5217337125).

The spelling of 5217030000 in words is "five billion, two hundred seventeen million, thirty thousand".