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13687422080535 = 3257347125222287
BaseRepresentation
bin1100011100101101100111…
…1011100101011000010111
31210110111121222102102012100
43013023121323211120113
53243223320023034120
645035525341253143
72611612036024650
oct307133173453027
953414558372170
1013687422080535
1143a7891a30325
121650869b641b3
13783945326358
14354690a72527
1518b0943b3490
hexc72d9ee5617

13687422080535 has 48 divisors (see below), whose sum is σ = 27192270283776. Its totient is φ = 6239075177664.

The previous prime is 13687422080509. The next prime is 13687422080567. The reversal of 13687422080535 is 53508022478631.

13687422080535 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 7 + 4 + 2 + 20 + 80 + 535 = 666.

It is not a de Polignac number, because 13687422080535 - 211 = 13687422078487 is a prime.

It is a super-3 number, since 3×136874220805353 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62501839 + ... + 62720448.

It is an arithmetic number, because the mean of its divisors is an integer number (566505630912).

Almost surely, 213687422080535 is an apocalyptic number.

13687422080535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13687422080535 is a deficient number, since it is larger than the sum of its proper divisors (13504848203241).

13687422080535 is a wasteful number, since it uses less digits than its factorization.

13687422080535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125222652 (or 125222649 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 13687422080535 in words is "thirteen trillion, six hundred eighty-seven billion, four hundred twenty-two million, eighty thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 347 1041 1735 2429 3123 5205 7287 12145 15615 21861 36435 109305 125222287 375666861 626111435 876556009 1127000583 1878334305 2629668027 4382780045 5635002915 7889004081 13148340135 39445020405 43452133589 130356400767 217260667945 304164935123 391069202301 651782003835 912494805369 1520824675615 1955346011505 2737484416107 4562474026845 13687422080535