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13104444335549 = 721729542469857
BaseRepresentation
bin1011111010110001110110…
…1111111110010110111101
31201101202212020221111202112
42332230131233332112331
53204200400222214144
643512033145103405
72521523226661400
oct276543557762675
951352766844675
1013104444335549
1141a2622216986
12157788ba87b65
13740989181bb8
14334389421d37
1517ad23b6699e
hexbeb1dbfe5bd

13104444335549 has 24 divisors (see below), whose sum is σ = 16697222229240. Its totient is φ = 10207112810496.

The previous prime is 13104444335501. The next prime is 13104444335551. The reversal of 13104444335549 is 94553344440131.

It can be written as a sum of positive squares in 4 ways, for example, as 7250730227524 + 5853714108025 = 2692718^2 + 2419445^2 .

It is not a de Polignac number, because 13104444335549 - 236 = 13035724858813 is a prime.

It is a super-2 number, since 2×131044443355492 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13104444335497 and 13104444335506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104444335569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271210772 + ... + 271259085.

It is an arithmetic number, because the mean of its divisors is an integer number (695717592885).

Almost surely, 213104444335549 is an apocalyptic number.

It is an amenable number.

13104444335549 is a deficient number, since it is larger than the sum of its proper divisors (3592777893691).

13104444335549 is a wasteful number, since it uses less digits than its factorization.

13104444335549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542469917 (or 542469910 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 50.

The spelling of 13104444335549 in words is "thirteen trillion, one hundred four billion, four hundred forty-four million, three hundred thirty-five thousand, five hundred forty-nine".

Divisors: 1 7 17 29 49 119 203 493 833 1421 3451 24157 542469857 3797288999 9221987569 15731625853 26581022993 64553912983 110121380971 267437639501 451877390881 770849666797 1872063476507 13104444335549