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54641093133 = 311171943311839
BaseRepresentation
bin110010111000110111…
…001110101000001101
312020001000212010112010
4302320313032220031
51343401104440013
641033552131433
73643025425344
oct627067165015
9166030763463
1054641093133
112119a522010
12a70b236b79
1351ca447293
142904c86b5b
15164c0537c3
hexcb8dcea0d

54641093133 has 64 divisors (see below), whose sum is σ = 88794316800. Its totient is φ = 29456732160.

The previous prime is 54641093093. The next prime is 54641093141. The reversal of 54641093133 is 33139014645.

It is a happy number.

It is not a de Polignac number, because 54641093133 - 210 = 54641092109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54641093091 and 54641093100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54641093173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4609428 + ... + 4621266.

It is an arithmetic number, because the mean of its divisors is an integer number (1387411200).

Almost surely, 254641093133 is an apocalyptic number.

It is an amenable number.

54641093133 is a deficient number, since it is larger than the sum of its proper divisors (34153223667).

54641093133 is a wasteful number, since it uses less digits than its factorization.

54641093133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322.

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 54641093133 in words is "fifty-four billion, six hundred forty-one million, ninety-three thousand, one hundred thirty-three".

Divisors: 1 3 11 17 19 33 51 57 187 209 323 433 561 627 969 1299 3553 4763 7361 8227 10659 11839 14289 22083 24681 35517 80971 90497 130229 139859 201263 224941 242913 271491 390687 419577 603789 674823 1538449 2213893 2474351 3823997 4615347 5126287 6641679 7423053 11471991 15378861 42063967 56389157 87146879 97399453 126191901 169167471 261440637 292198359 958615669 1071393983 1655790701 2875847007 3214181949 4967372103 18213697711 54641093133