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5038531680 = 253571331612
BaseRepresentation
bin1001011000101000…
…11110010001100000
3111000010212221002110
410230110132101200
540304331003210
62151545115320
7235600545510
oct45424362140
914003787073
105038531680
112156135476
12b87488b40
13623b2ccc0
1435b251840
151e7518420
hex12c51e460

5038531680 has 576 divisors, whose sum is σ = 20500107264. Its totient is φ = 1011916800.

The previous prime is 5038531651. The next prime is 5038531681. The reversal of 5038531680 is 861358305.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5038531681) 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 95 ways as a sum of consecutive naturals, for example, 82598850 + ... + 82598910.

It is an arithmetic number, because the mean of its divisors is an integer number (35590464).

Almost surely, 25038531680 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 5038531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10250053632).

5038531680 is an abundant number, since it is smaller than the sum of its proper divisors (15461575584).

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

5038531680 is a wasteful number, since it uses less digits than its factorization.

5038531680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 5038531680 is about 70982.6153364329. The cubic root of 5038531680 is about 1714.3572609822.

Adding to 5038531680 its reverse (861358305), we get a palindrome (5899889985).

The spelling of 5038531680 in words is "five billion, thirty-eight million, five hundred thirty-one thousand, six hundred eighty".