Search a number
-
+
5131368000 = 2632531121931
BaseRepresentation
bin1001100011101101…
…00111011001000000
3111020121120111120200
410301312213121000
541002112234000
62205103005200
7241105623363
oct46166473100
914217514520
105131368000
1121a3583800
12bb2599800
1363a135c35
143696da0da
15200755500
hex131da7640

5131368000 has 1008 divisors, whose sum is σ = 21923166720. Its totient is φ = 1140480000.

The previous prime is 5131367993. The next prime is 5131368089. The reversal of 5131368000 is 8631315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165527985 + ... + 165528015.

Almost surely, 25131368000 is an apocalyptic number.

5131368000 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 5131368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961583360).

5131368000 is an abundant number, since it is smaller than the sum of its proper divisors (16791798720).

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

5131368000 is a wasteful number, since it uses less digits than its factorization.

5131368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5131368000 is about 71633.5675504159. The cubic root of 5131368000 is about 1724.8224139806.

Adding to 5131368000 its reverse (8631315), we get a palindrome (5139999315).

The spelling of 5131368000 in words is "five billion, one hundred thirty-one million, three hundred sixty-eight thousand".