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11979349131717 = 341149429272003
BaseRepresentation
bin1010111001010010100011…
…0110011000000111000101
31120102012210102211022010000
42232110220312120013011
53032232201334203332
641251123110151513
72344323303354312
oct256245066300705
946365712738100
1011979349131717
1138a9460313910
121415817952599
1368b8562189b6
142d5b370abd09
1515b924e89b7c
hexae528d981c5

11979349131717 has 40 divisors (see below), whose sum is σ = 19522369009440. Its totient is φ = 7260038022240.

The previous prime is 11979349131709. The next prime is 11979349131719. The reversal of 11979349131717 is 71713194397911.

11979349131717 is a `hidden beast` number, since 1 + 1 + 9 + 79 + 3 + 491 + 3 + 1 + 71 + 7 = 666.

It is not a de Polignac number, because 11979349131717 - 23 = 11979349131709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11979349131719) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43905238 + ... + 44177240.

It is an arithmetic number, because the mean of its divisors is an integer number (488059225236).

Almost surely, 211979349131717 is an apocalyptic number.

It is an amenable number.

11979349131717 is a deficient number, since it is larger than the sum of its proper divisors (7543019877723).

11979349131717 is a wasteful number, since it uses less digits than its factorization.

11979349131717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321455 (or 321446 counting only the distinct ones).

The product of its digits is 9001692, while the sum is 63.

The spelling of 11979349131717 in words is "eleven trillion, nine hundred seventy-nine billion, three hundred forty-nine million, one hundred thirty-one thousand, seven hundred seventeen".

Divisors: 1 3 9 11 27 33 81 99 297 891 49429 148287 272003 444861 543719 816009 1334583 1631157 2448027 2992033 4003749 4893471 7344081 8976099 14680413 22032243 26928297 44041239 80784891 242354673 13444836287 40334508861 121003526583 147893199157 363010579749 443679597471 1089031739247 1331038792413 3993116377239 11979349131717