Search a number
-
+
12606970880 = 210572311621
BaseRepresentation
bin10111011110110111…
…10001110000000000
31012112121020110212102
423233123301300000
5201304341032010
65442551045532
7624261325100
oct135733616000
935477213772
1012606970880
11538a3408a9
12253a0708a8
13125bb312aa
1487849b200
154dbbb8ba5
hex2ef6f1c00

12606970880 has 264 divisors, whose sum is σ = 36336640896. Its totient is φ = 4180377600.

The previous prime is 12606970837. The next prime is 12606970927. The reversal of 12606970880 is 8807960621.

12606970880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 7776470 + ... + 7778090.

Almost surely, 212606970880 is an apocalyptic number.

12606970880 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 12606970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168320448).

12606970880 is an abundant number, since it is smaller than the sum of its proper divisors (23729670016).

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

12606970880 is a wasteful number, since it uses less digits than its factorization.

12606970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 12606970880 in words is "twelve billion, six hundred six million, nine hundred seventy thousand, eight hundred eighty".