Search a number
-
+
66373693776 = 2432131719313541
BaseRepresentation
bin111101110100001011…
…100011000101010000
320100022200210222220200
4331310023203011100
52041413131200101
650254110335200
74536542042205
oct756413430520
9210280728820
1066373693776
1126170246585
1210a444ba500
13634a086920
1432d9179cac
151ad70a4986
hexf742e3150

66373693776 has 480 divisors, whose sum is σ = 230215265280. Its totient is φ = 17617305600.

The previous prime is 66373693753. The next prime is 66373693783. The reversal of 66373693776 is 67739637366.

It is a super-2 number, since 2×663736937762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18742566 + ... + 18746106.

It is an arithmetic number, because the mean of its divisors is an integer number (479615136).

Almost surely, 266373693776 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 66373693776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115107632640).

66373693776 is an abundant number, since it is smaller than the sum of its proper divisors (163841571504).

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

66373693776 is a wasteful number, since it uses less digits than its factorization.

66373693776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3626 counting only the distinct ones).

The product of its digits is 108020304, while the sum is 63.

The spelling of 66373693776 in words is "sixty-six billion, three hundred seventy-three million, six hundred ninety-three thousand, seven hundred seventy-six".