Search a number
-
+
4243688064 = 273371137431
BaseRepresentation
bin1111110011110001…
…1000101010000000
3101221202020200122000
43330330120222000
532142341004224
61541032544000
7210106516260
oct37474305200
911852220560
104243688064
1118884a6720
129a5252000
13528264135
142c38697a0
1519c85e0c9
hexfcf18a80

4243688064 has 512 divisors, whose sum is σ = 16074547200. Its totient is φ = 1069977600.

The previous prime is 4243688051. The next prime is 4243688123. The reversal of 4243688064 is 4608863424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9845929 + ... + 9846359.

It is an arithmetic number, because the mean of its divisors is an integer number (31395600).

Almost surely, 24243688064 is an apocalyptic number.

4243688064 is a gapful number since it is divisible by the number (44) 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 4243688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037273600).

4243688064 is an abundant number, since it is smaller than the sum of its proper divisors (11830859136).

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

4243688064 is a wasteful number, since it uses less digits than its factorization.

4243688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 4243688064 is about 65143.5957251363. The cubic root of 4243688064 is about 1619.0036122589.

The spelling of 4243688064 in words is "four billion, two hundred forty-three million, six hundred eighty-eight thousand, sixty-four".