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5015189124 = 2232112292372
BaseRepresentation
bin1001010101110110…
…11011011010000100
3110221111222000010100
410222323123122010
540232342022444
62145352524100
7235165255431
oct45273333204
913844860110
105015189124
112143a41900
12b7b6b0630
1361c04933a
143580d6b88
151e5456e69
hex12aedb684

5015189124 has 243 divisors, whose sum is σ = 14832190191. Its totient is φ = 1427690880.

The previous prime is 5015189107. The next prime is 5015189129. The reversal of 5015189124 is 4219815105.

The square root of 5015189124 is 70818.

It is a perfect power (a square), and thus also a powerful number.

5015189124 is a `hidden beast` number, since 50 + 1 + 518 + 91 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1067328900 + 3947860224 = 32670^2 + 62832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5015189129) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 135545634 + ... + 135545670.

Almost surely, 25015189124 is an apocalyptic number.

5015189124 is the 70818-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5015189124

5015189124 is an abundant number, since it is smaller than the sum of its proper divisors (9817001067).

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

5015189124 is a wasteful number, since it uses less digits than its factorization.

5015189124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The cubic root of 5015189124 is about 1711.7057320418.

Multiplying 5015189124 by its sum of digits (36), we get a square (180546808464 = 4249082).

5015189124 divided by its sum of digits (36) gives a square (139310809 = 118032).

Multiplying 5015189124 by its product of nonzero digits (14400), we get a square (72218723385600 = 84981602).

The spelling of 5015189124 in words is "five billion, fifteen million, one hundred eighty-nine thousand, one hundred twenty-four".