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5131440600 = 23352112135437
BaseRepresentation
bin1001100011101101…
…11001000111011000
3111020121201012011120
410301312321013120
541002122044400
62205104325240
7241106345136
oct46166710730
914217635146
105131440600
1121a3623300
12bb2613820
1363a15ccb0
14369718756
1520076bca0
hex131db91d8

5131440600 has 288 divisors, whose sum is σ = 18833534160. Its totient is φ = 1148083200.

The previous prime is 5131440569. The next prime is 5131440661. The reversal of 5131440600 is 60441315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 941082 + ... + 946518.

Almost surely, 25131440600 is an apocalyptic number.

5131440600 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 5131440600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9416767080).

5131440600 is an abundant number, since it is smaller than the sum of its proper divisors (13702093560).

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

5131440600 is a wasteful number, since it uses less digits than its factorization.

5131440600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5131440600 is about 71634.0742942910. The cubic root of 5131440600 is about 1724.8305483622.

Adding to 5131440600 its reverse (60441315), we get a palindrome (5191881915).

The spelling of 5131440600 in words is "five billion, one hundred thirty-one million, four hundred forty thousand, six hundred".