Search a number
-
+
5613245568 = 27357229127
BaseRepresentation
bin1010011101001001…
…10101010010000000
3112111012022102100000
411032210311102000
542443442324233
62324555200000
7256046541300
oct51644652200
915435272300
105613245568
112420592527
121107a46000
136b5c143a8
143b36d5600
1522cbddd13
hex14e935480

5613245568 has 576 divisors, whose sum is σ = 20316441600. Its totient is φ = 1536288768.

The previous prime is 5613245551. The next prime is 5613245569. The reversal of 5613245568 is 8655423165.

5613245568 is a `hidden beast` number, since 5 + 6 + 132 + 455 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (5613245569) 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 71 ways as a sum of consecutive naturals, for example, 44198721 + ... + 44198847.

It is an arithmetic number, because the mean of its divisors is an integer number (35271600).

Almost surely, 25613245568 is an apocalyptic number.

5613245568 is a gapful number since it is divisible by the number (58) 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 5613245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158220800).

5613245568 is an abundant number, since it is smaller than the sum of its proper divisors (14703196032).

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

5613245568 is a wasteful number, since it uses less digits than its factorization.

5613245568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 5613245568 is about 74921.5961388971. The cubic root of 5613245568 is about 1777.2069954465.

The spelling of 5613245568 in words is "five billion, six hundred thirteen million, two hundred forty-five thousand, five hundred sixty-eight".