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5580432000 = 2732531113271
BaseRepresentation
bin1010011001001111…
…01010001010000000
3112101220120022120200
411030213222022000
542412042311000
62321424005200
7255200614023
oct51447521200
915356508520
105580432000
112404010180
1210b8a60800
136ac195890
143ad1d31ba
15229dab500
hex14c9ea280

5580432000 has 768 divisors, whose sum is σ = 23631229440. Its totient is φ = 1244160000.

The previous prime is 5580431963. The next prime is 5580432001. The reversal of 5580432000 is 2340855.

It is a super-2 number, since 2×55804320002 = 62282442613248000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5580432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20591865 + ... + 20592135.

It is an arithmetic number, because the mean of its divisors is an integer number (30769830).

Almost surely, 25580432000 is an apocalyptic number.

5580432000 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 5580432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815614720).

5580432000 is an abundant number, since it is smaller than the sum of its proper divisors (18050797440).

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

5580432000 is a wasteful number, since it uses less digits than its factorization.

5580432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5580432000 is about 74702.2891215524. The cubic root of 5580432000 is about 1773.7371960988.

Adding to 5580432000 its reverse (2340855), we get a palindrome (5582772855).

It can be divided in two parts, 5580 and 432000, that added together give a triangular number (437580 = T935).

The spelling of 5580432000 in words is "five billion, five hundred eighty million, four hundred thirty-two thousand".