Search a number
-
+
54514636241265 = 32513931327844631
BaseRepresentation
bin11000110010100101011011…
…00001110011100101110001
321011000112210201201202211100
430121102231201303211301
524121131433334210030
6311535402252035013
714324360335333134
oct1431225541634561
9234015721652740
1054514636241265
1116408588a67912
126145375462a69
132455928a22965
14d6674594221b
156480b665c360
hex3194ad873971

54514636241265 has 48 divisors (see below), whose sum is σ = 95475901772160. Its totient is φ = 28773081342720.

The previous prime is 54514636241251. The next prime is 54514636241281. The reversal of 54514636241265 is 56214263641545.

54514636241265 is a `hidden beast` number, since 5 + 4 + 5 + 1 + 4 + 6 + 3 + 624 + 1 + 2 + 6 + 5 = 666.

54514636241265 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 54514636241265 - 234 = 54497456372081 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11964501 + ... + 15880130.

It is an arithmetic number, because the mean of its divisors is an integer number (1989081286920).

Almost surely, 254514636241265 is an apocalyptic number.

It is an amenable number.

54514636241265 is a deficient number, since it is larger than the sum of its proper divisors (40961265530895).

54514636241265 is a wasteful number, since it uses less digits than its factorization.

54514636241265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27845094 (or 27845091 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 54514636241265 in words is "fifty-four trillion, five hundred fourteen billion, six hundred thirty-six million, two hundred forty-one thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 45 139 313 417 695 939 1251 1565 2085 2817 4695 6255 14085 43507 130521 217535 391563 652605 1957815 27844631 83533893 139223155 250601679 417669465 1253008395 3870403709 8715369503 11611211127 19352018545 26146108509 34833633381 43576847515 58056055635 78438325527 130730542545 174168166905 392191627635 1211436360917 3634309082751 6057181804585 10902927248253 18171545413755 54514636241265