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5020704000 = 28345313149
BaseRepresentation
bin1001010110100000…
…11101110100000000
3110221220100012010000
410223100131310000
540240300012000
62150111040000
7235263164664
oct45320356400
913856305100
105020704000
112147069254
12b81510000
1362022a590
14358b308a4
151e5b96000
hex12b41dd00

5020704000 has 720 divisors, whose sum is σ = 20255835600. Its totient is φ = 1227571200.

The previous prime is 5020703981. The next prime is 5020704043. The reversal of 5020704000 is 4070205.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3640432896 + 1380271104 = 60336^2 + 37152^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 33695926 + ... + 33696074.

It is an arithmetic number, because the mean of its divisors is an integer number (28133105).

Almost surely, 25020704000 is an apocalyptic number.

5020704000 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 5020704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10127917800).

5020704000 is an abundant number, since it is smaller than the sum of its proper divisors (15235131600).

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

5020704000 is a wasteful number, since it uses less digits than its factorization.

5020704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5020704000 is about 70856.9262669501. The cubic root of 5020704000 is about 1712.3329192135.

Adding to 5020704000 its reverse (4070205), we get a palindrome (5024774205).

The spelling of 5020704000 in words is "five billion, twenty million, seven hundred four thousand".