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5021248320 = 263451121601
BaseRepresentation
bin1001010110100101…
…00010101101000000
3110221221100211210000
410223102202231000
540240414421240
62150130440000
7235300622634
oct45322425500
913857324700
105021248320
112147400200
12b81733000
1362038b26a
14358c32dc4
151e5c52430
hex12b4a2b40

5021248320 has 420 divisors, whose sum is σ = 19645111332. Its totient is φ = 1216512000.

The previous prime is 5021248307. The next prime is 5021248327. The reversal of 5021248320 is 238421205.

5021248320 is a `hidden beast` number, since 502 + 124 + 8 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3914754624 + 1106493696 = 62568^2 + 33264^2 .

It is a super-2 number, since 2×50212483202 = 50425869382205644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5021248327) 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 59 ways as a sum of consecutive naturals, for example, 3135520 + ... + 3137120.

Almost surely, 25021248320 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 5021248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9822555666).

5021248320 is an abundant number, since it is smaller than the sum of its proper divisors (14623863012).

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

5021248320 is a wasteful number, since it uses less digits than its factorization.

5021248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5021248320 is about 70860.7671423334. The cubic root of 5021248320 is about 1712.3947978779.

Adding to 5021248320 its reverse (238421205), we get a palindrome (5259669525).

The spelling of 5021248320 in words is "five billion, twenty-one million, two hundred forty-eight thousand, three hundred twenty".