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13415401006623 = 33711431129111597
BaseRepresentation
bin1100001100111000010000…
…1101100010011000011111
31202111111111100210002122000
43003032010031202120133
53224244220124202443
644310541121453343
72553142100035350
oct303160415423037
952444440702560
1013415401006623
114302492147340
121607bb27a1253
137640b3c47315
14345447795d27
15183e731a68d3
hexc338436261f

13415401006623 has 128 divisors (see below), whose sum is σ = 24857679790080. Its totient is φ = 6946885296000.

The previous prime is 13415401006613. The next prime is 13415401006627. The reversal of 13415401006623 is 32660010451431.

13415401006623 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 540 + 100 + 6 + 6 + 2 + 3 = 666.

It is not a de Polignac number, because 13415401006623 - 28 = 13415401006367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13415401006627) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1156793461 + ... + 1156805057.

It is an arithmetic number, because the mean of its divisors is an integer number (194200623360).

Almost surely, 213415401006623 is an apocalyptic number.

13415401006623 is a deficient number, since it is larger than the sum of its proper divisors (11442278783457).

13415401006623 is a wasteful number, since it uses less digits than its factorization.

13415401006623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13346 (or 13340 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13415401006623 in words is "thirteen trillion, four hundred fifteen billion, four hundred one million, six thousand, six hundred twenty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 431 693 1291 1293 2079 3017 3873 3879 4741 9037 9051 11597 11619 11637 14201 14223 27111 27153 33187 34791 34857 42603 42669 81179 81333 81459 99407 99561 104373 127567 127809 128007 243537 243999 298221 298683 313119 382701 383427 556421 730611 892969 894663 896049 1148103 1669263 2191833 2678907 2683989 3444309 3894947 4998307 5007789 6120631 8036721 11684841 14971727 14994921 15023367 18361893 24110163 34988149 35054523 42844417 44915181 44984763 54981377 55085679 104802089 104964447 105163569 128533251 134745543 134954289 164688997 164944131 165257037 314406267 314893341 384869639 385599753 404236629 494066991 494832393 943218801 944680023 1152822979 1154608917 1156799259 1482200973 1484497179 2829656403 3458468937 3463826751 4446602919 6452814337 10375406811 10391480253 19358443011 31126220433 45169700359 58075329033 70980957707 135509101077 174225987099 212942873121 406527303231 496866703949 638828619363 1219581909693 1490600111847 1916485858089 4471800335541 13415401006623