Search a number
-
+
12385996461 = 329671423187
BaseRepresentation
bin10111000100100001…
…10100111010101101
31011222012102210221200
423202100310322231
5200331303341321
65405014520113
7615636142566
oct134220647255
934865383850
1012385996461
115286632513
122498066039
1312251121b7
14856db916d
154c75b9d26
hex2e2434ead

12385996461 has 12 divisors (see below), whose sum is σ = 17909397792. Its totient is φ = 8248786056.

The previous prime is 12385996423. The next prime is 12385996481. The reversal of 12385996461 is 16469958321.

12385996461 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 599 + 6 + 46 + 1 = 666.

12385996461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12385996461 - 26 = 12385996397 is a prime.

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 junction number, because it is equal to n+sod(n) for n = 12385996398 and 12385996407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12385996481) 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 11 ways as a sum of consecutive naturals, for example, 702891 + ... + 720296.

It is an arithmetic number, because the mean of its divisors is an integer number (1492449816).

Almost surely, 212385996461 is an apocalyptic number.

It is an amenable number.

12385996461 is a deficient number, since it is larger than the sum of its proper divisors (5523401331).

12385996461 is a wasteful number, since it uses less digits than its factorization.

12385996461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424160 (or 1424157 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 12385996461 in words is "twelve billion, three hundred eighty-five million, nine hundred ninety-six thousand, four hundred sixty-one".

Divisors: 1 3 9 967 2901 8703 1423187 4269561 12808683 1376221829 4128665487 12385996461