Search a number
-
+
54531333313545 = 3511237812021939
BaseRepresentation
bin11000110011000100100001…
…10000000101010000001001
321011002010220101012221000210
430121202100300011100021
524121420132312013140
6311551203152151333
714325521163162144
oct1431422060052011
9234063811187023
1054531333313545
1116414677032400
126148655238549
13245738a03179a
14d6748b2c905b
15648742447d80
hex319890c05409

54531333313545 has 48 divisors (see below), whose sum is σ = 98495013234240. Its totient is φ = 25724854995840.

The previous prime is 54531333313529. The next prime is 54531333313553.

It is a happy number.

54531333313545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54531333313545 - 24 = 54531333313529 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54531333313494 and 54531333313503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405943815 + ... + 406078124.

It is an arithmetic number, because the mean of its divisors is an integer number (2051979442380).

Almost surely, 254531333313545 is an apocalyptic number.

54531333313545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54531333313545 is a deficient number, since it is larger than the sum of its proper divisors (43963679920695).

54531333313545 is a wasteful number, since it uses less digits than its factorization.

54531333313545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812022006 (or 812021995 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 48.

It can be divided in two parts, 5453133 and 3313545, that added together give a palindrome (8766678).

The spelling of 54531333313545 in words is "fifty-four trillion, five hundred thirty-one billion, three hundred thirty-three million, three hundred thirteen thousand, five hundred forty-five".

Divisors: 1 3 5 11 15 33 37 55 111 121 165 185 363 407 555 605 1221 1815 2035 4477 6105 13431 22385 67155 812021939 2436065817 4060109695 8932241329 12180329085 26796723987 30044811743 44661206645 90134435229 98254654619 133983619935 150224058715 294763963857 330492929173 450672176145 491273273095 991478787519 1473819819285 1652464645865 3635422220903 4957393937595 10906266662709 18177111104515 54531333313545