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5200481520 = 2432513279541
BaseRepresentation
bin1001101011111100…
…10000110011110000
3111102102121211111200
410311332100303300
541122310402040
62220012211200
7242605235463
oct46576206360
914372554450
105200481520
112229599813
121011769b00
1364b554100
1437496b2da
15206858630
hex135f90cf0

5200481520 has 360 divisors, whose sum is σ = 19186539840. Its totient is φ = 1261578240.

The previous prime is 5200481513. The next prime is 5200481537. The reversal of 5200481520 is 251840025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9612450 + ... + 9612990.

It is an arithmetic number, because the mean of its divisors is an integer number (53295944).

Almost surely, 25200481520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200481520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593269920).

5200481520 is an abundant number, since it is smaller than the sum of its proper divisors (13986058320).

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

5200481520 is a wasteful number, since it uses less digits than its factorization.

5200481520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5200481520 is about 72114.3641724726. The cubic root of 5200481520 is about 1732.5316848587.

The spelling of 5200481520 in words is "five billion, two hundred million, four hundred eighty-one thousand, five hundred twenty".