Search a number
-
+
666368620008 = 2337313192314249
BaseRepresentation
bin10011011001001101010…
…10100011010111101000
32100201000101010021111120
421230212222203113220
541404210331320013
61230043040055240
766100143546000
oct11544652432750
92321011107446
10666368620008
11237672794083
12a9191604520
134aab89588b0
142437689d000
151250176e123
hex9b26aa35e8

666368620008 has 512 divisors, whose sum is σ = 2298240000000. Its totient is φ = 159245678592.

The previous prime is 666368620007. The next prime is 666368620037. The reversal of 666368620008 is 800026863666.

666368620008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (666368620007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46758868 + ... + 46773116.

It is an arithmetic number, because the mean of its divisors is an integer number (4488750000).

Almost surely, 2666368620008 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 666368620008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120000000).

666368620008 is an abundant number, since it is smaller than the sum of its proper divisors (1631871379992).

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

666368620008 is a wasteful number, since it uses less digits than its factorization.

666368620008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14334 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 666368620008 in words is "six hundred sixty-six billion, three hundred sixty-eight million, six hundred twenty thousand, eight".