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5094432000 = 28325372192
BaseRepresentation
bin1001011111010011…
…01101110100000000
3111011001001221220200
410233221231310000
540413133311000
62201303205200
7240146646300
oct45751556400
914131057820
105094432000
112184746189
12ba2146800
136325a2c08
14364843600
151ec3ab500
hex12fa6dd00

5094432000 has 972 divisors, whose sum is σ = 22505500836. Its totient is φ = 1103155200.

The previous prime is 5094431977. The next prime is 5094432011. The reversal of 5094432000 is 2344905.

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 can be written as a sum of positive squares in 2 ways, for example, as 163021824 + 4931410176 = 12768^2 + 70224^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 268127991 + ... + 268128009.

Almost surely, 25094432000 is an apocalyptic number.

5094432000 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 5094432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11252750418).

5094432000 is an abundant number, since it is smaller than the sum of its proper divisors (17411068836).

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

5094432000 is a wasteful number, since it uses less digits than its factorization.

5094432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5094432000 is about 71375.2898417933. The cubic root of 5094432000 is about 1720.6739741988.

Adding to 5094432000 its reverse (2344905), we get a palindrome (5096776905).

It can be divided in two parts, 50944 and 32000, that added together give a square (82944 = 2882).

The spelling of 5094432000 in words is "five billion, ninety-four million, four hundred thirty-two thousand".