Search a number
-
+
11433520603329 = 311612349266797
BaseRepresentation
bin1010011001100001001011…
…1011110010000011000001
31111111000220201011010112020
42212120102323302003001
52444311322233301304
640152253054352053
72260021204413666
oct246302273620301
944430821133466
1011433520603329
113708a24344770
121347a86abb629
1364c23a628a06
142b7557585a6d
1514c62ad085d9
hexa6612ef20c1

11433520603329 has 48 divisors (see below), whose sum is σ = 16956186811200. Its totient is φ = 6796254585600.

The previous prime is 11433520603319. The next prime is 11433520603343. The reversal of 11433520603329 is 92330602533411.

It is not a de Polignac number, because 11433520603329 - 27 = 11433520603201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11433520603319) 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 47 ways as a sum of consecutive naturals, for example, 42721359 + ... + 42988155.

It is an arithmetic number, because the mean of its divisors is an integer number (353253891900).

Almost surely, 211433520603329 is an apocalyptic number.

It is an amenable number.

11433520603329 is a deficient number, since it is larger than the sum of its proper divisors (5522666207871).

11433520603329 is a wasteful number, since it uses less digits than its factorization.

11433520603329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267282 (or 267221 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 11433520603329 in words is "eleven trillion, four hundred thirty-three billion, five hundred twenty million, six hundred three thousand, three hundred twenty-nine".

Divisors: 1 3 11 33 61 183 349 671 1047 2013 3721 3839 11163 11517 21289 40931 63867 122793 234179 266797 702537 800391 1298629 2934767 3895887 8804301 14284919 16274617 42854757 48823851 93112153 179020787 279336459 537062361 992751637 1024233683 2978254911 3072701049 5679841333 10920268007 17039523999 32760804021 62478254663 187434763989 346470321313 1039410963939 3811173534443 11433520603329