Search a number
-
+
12986539776 = 28327316433
BaseRepresentation
bin11000001100000111…
…01101111100000000
31020112001110120111200
430012003231330000
5203044023233101
65544350341200
7636550524000
oct140603557400
936461416450
1012986539776
115564621601
1226251ba800
1312bc66b182
148b2a64000
15510193986
hex3060edf00

12986539776 has 216 divisors, whose sum is σ = 43668424800. Its totient is φ = 3710214144.

The previous prime is 12986539771. The next prime is 12986539777. The reversal of 12986539776 is 67793568921.

12986539776 is a `hidden beast` number, since 1 + 2 + 98 + 6 + 539 + 7 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12986539771) 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, 782056 + ... + 798488.

Almost surely, 212986539776 is an apocalyptic number.

12986539776 is a gapful number since it is divisible by the number (16) 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 12986539776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21834212400).

12986539776 is an abundant number, since it is smaller than the sum of its proper divisors (30681885024).

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

12986539776 is an equidigital number, since it uses as much as digits as its factorization.

12986539776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16476 (or 16445 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 12986539776 in words is "twelve billion, nine hundred eighty-six million, five hundred thirty-nine thousand, seven hundred seventy-six".