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13493744739431 = 1119292226323171
BaseRepresentation
bin1100010001011100000111…
…0111001010010001100111
31202202222201021100002011122
43010113001313022101213
53232040142123130211
644410535111524155
72561614400550545
oct304270167122147
952688637302148
1013493744739431
114332735140360
12161b21798965b
1376b5baba5478
1434915a590d95
1518600b05e6db
hexc45c1dca467

13493744739431 has 16 divisors (see below), whose sum is σ = 16029526838400. Its totient is φ = 11220668776800.

The previous prime is 13493744739407. The next prime is 13493744739479.

It is a happy number.

13493744739431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13493744739431 is a prime.

It is a super-2 number, since 2×134937447394312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13493744739491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113155525 + ... + 1113167646.

It is an arithmetic number, because the mean of its divisors is an integer number (1001845427400).

Almost surely, 213493744739431 is an apocalyptic number.

13493744739431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13493744739431 is a deficient number, since it is larger than the sum of its proper divisors (2535782098969).

13493744739431 is a wasteful number, since it uses less digits than its factorization.

13493744739431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226323230.

The product of its digits is 82301184, while the sum is 62.

The spelling of 13493744739431 in words is "thirteen trillion, four hundred ninety-three billion, seven hundred forty-four million, seven hundred thirty-nine thousand, four hundred thirty-one".

Divisors: 1 11 19 29 209 319 551 6061 2226323171 24489554881 42300140249 64563371959 465301542739 710197091549 1226704067221 13493744739431