Search a number
-
+
64788714720 = 253252373127211
BaseRepresentation
bin111100010101101101…
…010101010011100000
320012020020101201101200
4330111231111103200
52030141402332340
645432531001200
74452344663052
oct742555252340
9205206351350
1064788714720
11255275a4334
1210681739200
1361568acbb2
1431c88758d2
151a42d71330
hexf15b554e0

64788714720 has 576 divisors, whose sum is σ = 236823035904. Its totient is φ = 16094453760.

The previous prime is 64788714703. The next prime is 64788714721. The reversal of 64788714720 is 2741788746.

64788714720 is a `hidden beast` number, since 6 + 478 + 8 + 7 + 147 + 20 = 666.

64788714720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64788714721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307055415 + ... + 307055625.

It is an arithmetic number, because the mean of its divisors is an integer number (411151104).

Almost surely, 264788714720 is an apocalyptic number.

64788714720 is a gapful number since it is divisible by the number (60) 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 64788714720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118411517952).

64788714720 is an abundant number, since it is smaller than the sum of its proper divisors (172034321184).

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

64788714720 is a wasteful number, since it uses less digits than its factorization.

64788714720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 64788714720 in words is "sixty-four billion, seven hundred eighty-eight million, seven hundred fourteen thousand, seven hundred twenty".