Search a number
-
+
6540144045167 = 47139152000961
BaseRepresentation
bin101111100101011111011…
…1101100110110001101111
3212011020020212212001110102
41133022332331212301233
51324123203333421132
621524300052301315
71243336603100225
oct137127675466157
925136225761412
106540144045167
1120a17288a3187
1289763501183b
1338596b355745
1418878a798b15
15b51ce057c62
hex5f2bef66c6f

6540144045167 has 4 divisors (see below), whose sum is σ = 6679296046176. Its totient is φ = 6400992044160.

The previous prime is 6540144045151. The next prime is 6540144045191. The reversal of 6540144045167 is 7615404410456.

6540144045167 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 6540144045167 - 24 = 6540144045151 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47), and also a Moran number because the ratio is a prime number: 139152000961 = 6540144045167 / (6 + 5 + 4 + 0 + 1 + 4 + 4 + 0 + 4 + 5 + 1 + 6 + 7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540144045767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69576000434 + ... + 69576000527.

It is an arithmetic number, because the mean of its divisors is an integer number (1669824011544).

Almost surely, 26540144045167 is an apocalyptic number.

6540144045167 is a deficient number, since it is larger than the sum of its proper divisors (139152001009).

6540144045167 is a wasteful number, since it uses less digits than its factorization.

6540144045167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139152001008.

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 6540144045167 in words is "six trillion, five hundred forty billion, one hundred forty-four million, forty-five thousand, one hundred sixty-seven".

Divisors: 1 47 139152000961 6540144045167