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5020665600 = 283522971127
BaseRepresentation
bin1001010110100000…
…10100011100000000
3110221220021020102210
410223100110130000
540240242244400
62150110142120
7235262645016
oct45320243400
913856236383
105020665600
112147042415
12b814b1940
13620215c62
14358b208b6
151e5b89950
hex12b414700

5020665600 has 432 divisors, whose sum is σ = 17518878720. Its totient is φ = 1264435200.

The previous prime is 5020665581. The next prime is 5020665623. The reversal of 5020665600 is 65660205.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39532737 + ... + 39532863.

It is an arithmetic number, because the mean of its divisors is an integer number (40552960).

Almost surely, 25020665600 is an apocalyptic number.

5020665600 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 5020665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8759439360).

5020665600 is an abundant number, since it is smaller than the sum of its proper divisors (12498213120).

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

5020665600 is a wasteful number, since it uses less digits than its factorization.

5020665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5020665600 is about 70856.6552978618. The cubic root of 5020665600 is about 1712.3285537067.

The spelling of 5020665600 in words is "five billion, twenty million, six hundred sixty-five thousand, six hundred".