Search a number
-
+
66662096760 = 233257431016091
BaseRepresentation
bin111110000101010111…
…101101111101111000
320101001210111101102200
4332011113231331320
52043010444044020
650342452030200
74546643321220
oct760527557570
9211053441380
1066662096760
11262a9019a56
1210b05002360
136394a53c8c
1433255b1080
151b02572590
hexf855edf78

66662096760 has 384 divisors, whose sum is σ = 255910786560. Its totient is φ = 14732928000.

The previous prime is 66662096749. The next prime is 66662096807. The reversal of 66662096760 is 6769026666.

It is a junction number, because it is equal to n+sod(n) for n = 66662096697 and 66662096706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10941315 + ... + 10947405.

It is an arithmetic number, because the mean of its divisors is an integer number (666434340).

Almost surely, 266662096760 is an apocalyptic number.

66662096760 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 66662096760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127955393280).

66662096760 is an abundant number, since it is smaller than the sum of its proper divisors (189248689800).

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

66662096760 is a wasteful number, since it uses less digits than its factorization.

66662096760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 66662096760 in words is "sixty-six billion, six hundred sixty-two million, ninety-six thousand, seven hundred sixty".