Search a number
-
+
5313243600 = 243652719137
BaseRepresentation
bin1001111001011000…
…11010100111010000
3111201021210202000000
410330230122213100
541340142243400
62235121130000
7245444553060
oct47454324720
914637722000
105313243600
112287207615
121043489900
13668a15732
143859213a0
152116ce600
hex13cb1a9d0

5313243600 has 840 divisors, whose sum is σ = 23192235840. Its totient is φ = 1142138880.

The previous prime is 5313243577. The next prime is 5313243629. The reversal of 5313243600 is 63423135.

It is a happy number.

5313243600 is a `hidden beast` number, since 5 + 3 + 13 + 2 + 43 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 38782732 + ... + 38782868.

Almost surely, 25313243600 is an apocalyptic number.

5313243600 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 5313243600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11596117920).

5313243600 is an abundant number, since it is smaller than the sum of its proper divisors (17878992240).

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

5313243600 is a wasteful number, since it uses less digits than its factorization.

5313243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5313243600 is about 72891.9995609943. Note that the first 3 decimals coincide. The cubic root of 5313243600 is about 1744.9644193805.

Adding to 5313243600 its reverse (63423135), we get a palindrome (5376666735).

The spelling of 5313243600 in words is "five billion, three hundred thirteen million, two hundred forty-three thousand, six hundred".