Search a number
-
+
12967637706 = 2331714125967
BaseRepresentation
bin11000001001110111…
…00111001011001010
31020110201220020202000
430010323213023022
5203024203401311
65542433251430
7636231046632
oct140473471312
936421806660
1012967637706
115554991161
12261aa03b76
1312b878070a
148b03436c2
1550d6ad056
hex304ee72ca

12967637706 has 32 divisors (see below), whose sum is σ = 30512090880. Its totient is φ = 4068278208.

The previous prime is 12967637701. The next prime is 12967637707. The reversal of 12967637706 is 60773676921.

12967637706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12967637701) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7062066 + ... + 7063901.

It is an arithmetic number, because the mean of its divisors is an integer number (953502840).

Almost surely, 212967637706 is an apocalyptic number.

12967637706 is an abundant number, since it is smaller than the sum of its proper divisors (17544453174).

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

12967637706 is a wasteful number, since it uses less digits than its factorization.

12967637706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14125995 (or 14125989 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 12967637706 in words is "twelve billion, nine hundred sixty-seven million, six hundred thirty-seven thousand, seven hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 14125967 28251934 42377901 84755802 127133703 240141439 254267406 381401109 480282878 720424317 762802218 1440848634 2161272951 4322545902 6483818853 12967637706