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5332709200 = 2452721320929
BaseRepresentation
bin1001111011101101…
…01010111101010000
3111202122102200210011
410331312222331100
541410133143300
62241054244304
7246102165100
oct47566527520
914678380704
105332709200
1122971a2395
121049ab6694
1366ca6c840
1438834b200
15213276eba
hex13ddaaf50

5332709200 has 180 divisors, whose sum is σ = 16050756540. Its totient is φ = 1687633920.

The previous prime is 5332709191. The next prime is 5332709219. The reversal of 5332709200 is 29072335.

It can be written as a sum of positive squares in 6 ways, for example, as 503015184 + 4829694016 = 22428^2 + 69496^2 .

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 35 ways as a sum of consecutive naturals, for example, 244336 + ... + 265264.

Almost surely, 25332709200 is an apocalyptic number.

5332709200 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 5332709200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025378270).

5332709200 is an abundant number, since it is smaller than the sum of its proper divisors (10718047340).

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

5332709200 is a wasteful number, since it uses less digits than its factorization.

5332709200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20974 (or 20956 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 5332709200 is about 73025.4010601791. The cubic root of 5332709200 is about 1747.0927729779.

The spelling of 5332709200 in words is "five billion, three hundred thirty-two million, seven hundred nine thousand, two hundred".