Search a number
-
+
12966670080 = 2833572131931
BaseRepresentation
bin11000001001101111…
…11010111100000000
31020110200002002102000
430010313322330000
5203023431420310
65542400424000
7636216606600
oct140467727400
936420062360
1012966670080
115554390171
12261a618000
1312b8502160
148b0170c00
1550d56b4c0
hex304dfaf00

12966670080 has 1728 divisors, whose sum is σ = 62634700800. Its totient is φ = 2508226560.

The previous prime is 12966670039. The next prime is 12966670159. The reversal of 12966670080 is 8007666921.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 418279665 + ... + 418279695.

Almost surely, 212966670080 is an apocalyptic number.

12966670080 is a gapful number since it is divisible by the number (10) 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 12966670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31317350400).

12966670080 is an abundant number, since it is smaller than the sum of its proper divisors (49668030720).

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

12966670080 is a wasteful number, since it uses less digits than its factorization.

12966670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12966670080 in words is "twelve billion, nine hundred sixty-six million, six hundred seventy thousand, eighty".