Search a number
-
+
12809764541 = 731193305861
BaseRepresentation
bin10111110111000010…
…10111111010111101
31020001201211110110202
423323201113322331
5202213244431131
65515033413245
7632303126210
oct137341277275
936051743422
1012809764541
115483861772
122595b6a225
131291b56042
148973a9777
154ee8c5bcb
hex2fb857ebd

12809764541 has 16 divisors (see below), whose sum is σ = 15190330368. Its totient is φ = 10570521600.

The previous prime is 12809764531. The next prime is 12809764553. The reversal of 12809764541 is 14546790821.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12809764541 - 26 = 12809764477 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12809764501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111050 + ... + 194811.

It is an arithmetic number, because the mean of its divisors is an integer number (949395648).

Almost surely, 212809764541 is an apocalyptic number.

It is an amenable number.

12809764541 is a deficient number, since it is larger than the sum of its proper divisors (2380565827).

12809764541 is a wasteful number, since it uses less digits than its factorization.

12809764541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306092.

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 12809764541 in words is "twelve billion, eight hundred nine million, seven hundred sixty-four thousand, five hundred forty-one".

Divisors: 1 7 31 193 217 1351 5983 41881 305861 2141027 9481691 59031173 66371837 413218211 1829966363 12809764541