Search a number
-
+
12660838848 = 263276746867
BaseRepresentation
bin10111100101010010…
…10001000111000000
31012200100121020211100
423302221101013000
5201412133320343
65452153414400
7625514232420
oct136251210700
935610536740
1012660838848
115407793689
12255410a400
13126a042128
148816c0480
154e17a99d3
hex2f2a511c0

12660838848 has 168 divisors, whose sum is σ = 42094212992. Its totient is φ = 3563315712.

The previous prime is 12660838843. The next prime is 12660838849. The reversal of 12660838848 is 84883806621.

12660838848 is a `hidden beast` number, since 1 + 26 + 608 + 3 + 8 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 12660838794 and 12660838803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12660838843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246711 + ... + 293577.

Almost surely, 212660838848 is an apocalyptic number.

12660838848 is a gapful number since it is divisible by the number (18) 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 12660838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047106496).

12660838848 is an abundant number, since it is smaller than the sum of its proper divisors (29433374144).

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

12660838848 is a wasteful number, since it uses less digits than its factorization.

12660838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46959 (or 46946 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 12660838848 in words is "twelve billion, six hundred sixty million, eight hundred thirty-eight thousand, eight hundred forty-eight".