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13679108127951 = 37221126312831307
BaseRepresentation
bin1100011100001110101001…
…1000010111110011001111
31210102201011120020212022120
43013003222120113303033
53243104303140043301
645032032344344023
72611166023424100
oct307035230276317
953381146225276
1013679108127951
1143a4305a19732
12164b129775013
13782c1ba3b796
143541028023a7
1518ac5954ee36
hexc70ea617ccf

13679108127951 has 96 divisors (see below), whose sum is σ = 21431245068288. Its totient is φ = 7738041850560.

The previous prime is 13679108127931. The next prime is 13679108127991. The reversal of 13679108127951 is 15972180197631.

It is a de Polignac number, because none of the positive numbers 2k-13679108127951 is a prime.

It is a super-2 number, since 2×136791081279512 (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 (13679108127901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10466034640 + ... + 10466035946.

It is an arithmetic number, because the mean of its divisors is an integer number (223242136128).

Almost surely, 213679108127951 is an apocalyptic number.

13679108127951 is a deficient number, since it is larger than the sum of its proper divisors (7752136940337).

13679108127951 is a wasteful number, since it uses less digits than its factorization.

13679108127951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 60.

The spelling of 13679108127951 in words is "thirteen trillion, six hundred seventy-nine billion, one hundred eight million, one hundred twenty-seven thousand, nine hundred fifty-one".

Divisors: 1 3 7 21 49 147 211 263 633 789 1283 1307 1477 1841 3849 3921 4431 5523 8981 9149 10339 12887 26943 27447 31017 38661 55493 62867 64043 166479 188601 192129 270713 275777 337429 343741 388451 812139 827331 1012287 1031223 1165353 1676881 1894991 1930439 2362003 2406187 2719157 5030643 5684973 5791317 7086009 7218561 8157471 11738167 13264937 13513073 16534021 16843309 35214501 39794811 40539219 49602063 50529927 71197519 72529351 82167169 213592557 217588053 246501507 353821891 441019703 498382633 507705457 1061465673 1323059109 1495147899 1523116371 2476753237 3087137921 3488678431 3553938199 7430259711 9261413763 10466035293 10661814597 17337272659 21609965447 52011817977 64829896341 93055157333 279165471999 651386101331 1954158303993 4559702709317 13679108127951