Search a number
-
+
68664314880 = 2103257212873
BaseRepresentation
bin111111111100101101…
…100100110000000000
320120020100000121100100
4333330231210300000
52111111031034010
651313254322400
74650365021640
oct777455446000
9216210017310
1068664314880
1127136241077
1211383659400
1366237c6b25
143475486520
151bbd2222c0
hexffcb64c00

68664314880 has 264 divisors, whose sum is σ = 271909920672. Its totient is φ = 15694626816.

The previous prime is 68664314857. The next prime is 68664314881. The reversal of 68664314880 is 8841346686.

68664314880 is a `hidden beast` number, since 68 + 66 + 43 + 1 + 488 + 0 = 666.

68664314880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (68664314881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216124 + ... + 428996.

Almost surely, 268664314880 is an apocalyptic number.

68664314880 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 68664314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135954960336).

68664314880 is an abundant number, since it is smaller than the sum of its proper divisors (203245605792).

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

68664314880 is a wasteful number, since it uses less digits than its factorization.

68664314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212911 (or 212890 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 68664314880 in words is "sixty-eight billion, six hundred sixty-four million, three hundred fourteen thousand, eight hundred eighty".