Search a number
-
+
668256983268 = 2237194327735153
BaseRepresentation
bin10011011100101110011…
…10000101100011100100
32100212212222102001220120
421232113032011203210
541422042241431033
61230554254201540
766165013431150
oct11562716054344
92325788361816
10668256983268
11238451711376
12a9619ab32b0
134b029c468c4
14244b55b8060
15125b242e1b3
hex9b973858e4

668256983268 has 192 divisors, whose sum is σ = 1926416701440. Its totient is φ = 176032217088.

The previous prime is 668256983267. The next prime is 668256983341. The reversal of 668256983268 is 862389652866.

668256983268 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 (668256983267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18992380 + ... + 19027532.

It is an arithmetic number, because the mean of its divisors is an integer number (10033420320).

Almost surely, 2668256983268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668256983268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963208350720).

668256983268 is an abundant number, since it is smaller than the sum of its proper divisors (1258159718172).

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

668256983268 is a wasteful number, since it uses less digits than its factorization.

668256983268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35506 (or 35504 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 69.

The spelling of 668256983268 in words is "six hundred sixty-eight billion, two hundred fifty-six million, nine hundred eighty-three thousand, two hundred sixty-eight".