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13471844817431 = 7211131922626633
BaseRepresentation
bin1100010000001010100010…
…0001100101101000010111
31202200220012000202202220102
43010002220201211220113
53231210314233124211
644352514032324315
72560210605360500
oct304025041455027
952626160682812
1013471844817431
114324417209870
121616b256a369b
1376950a9c3640
1434807dc21ba7
151856785eda3b
hexc40a8865a17

13471844817431 has 24 divisors (see below), whose sum is σ = 18411072647184. Its totient is φ = 9690038225280.

The previous prime is 13471844817421. The next prime is 13471844817449.

13471844817431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13471844817431 - 26 = 13471844817367 is a prime.

It is a super-2 number, since 2×134718448174312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13471844817421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 961306310 + ... + 961320323.

It is an arithmetic number, because the mean of its divisors is an integer number (767128026966).

Almost surely, 213471844817431 is an apocalyptic number.

13471844817431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13471844817431 is a deficient number, since it is larger than the sum of its proper divisors (4939227829753).

13471844817431 is a wasteful number, since it uses less digits than its factorization.

13471844817431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922626671 (or 1922626664 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 56.

The spelling of 13471844817431 in words is "thirteen trillion, four hundred seventy-one billion, eight hundred forty-four million, eight hundred seventeen thousand, four hundred thirty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 1922626633 13458386431 21148892963 24994146229 94208705017 148042250741 174959023603 274935608519 1036295755187 1224713165221 1924549259633 13471844817431