Search a number
-
+
5674319568 = 2434172983107
BaseRepresentation
bin1010100100011011…
…10011111011010000
3112122110020022010000
411102031303323100
543110111211233
62335020210000
7260420630511
oct52215637320
915573208100
105674319568
112452007305
121124399900
136c5779158
143bb872a08
15233254d13
hex152373ed0

5674319568 has 400 divisors, whose sum is σ = 18375698880. Its totient is φ = 1682214912.

The previous prime is 5674319561. The next prime is 5674319621. The reversal of 5674319568 is 8659134765.

5674319568 is a `hidden beast` number, since 5 + 6 + 74 + 3 + 1 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5674319561) 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 79 ways as a sum of consecutive naturals, for example, 53030971 + ... + 53031077.

Almost surely, 25674319568 is an apocalyptic number.

5674319568 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 5674319568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187849440).

5674319568 is an abundant number, since it is smaller than the sum of its proper divisors (12701379312).

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

5674319568 is a wasteful number, since it uses less digits than its factorization.

5674319568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 5674319568 is about 75328.0795454125. The cubic root of 5674319568 is about 1783.6292958429.

The spelling of 5674319568 in words is "five billion, six hundred seventy-four million, three hundred nineteen thousand, five hundred sixty-eight".