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13634241113605 = 572434097094463
BaseRepresentation
bin1100011001100111100000…
…0110010010111000000101
31210021102100201001101021111
43012121320012102320011
53241340411211113410
644555252304445021
72605020130203100
oct306317006227005
953242321041244
1013634241113605
114387281734792
1216424a7919771
1377b91b550098
14351c87aad737
151899d062eb8a
hexc6678192e05

13634241113605 has 96 divisors (see below), whose sum is σ = 19554430579200. Its totient is φ = 9094557201408.

The previous prime is 13634241113599. The next prime is 13634241113609. The reversal of 13634241113605 is 50631114243631.

It is not a de Polignac number, because 13634241113605 - 243 = 4838148091397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13634241113609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3054947604 + ... + 3054952066.

It is an arithmetic number, because the mean of its divisors is an integer number (203691985200).

Almost surely, 213634241113605 is an apocalyptic number.

It is an amenable number.

13634241113605 is a deficient number, since it is larger than the sum of its proper divisors (5920189465595).

13634241113605 is a wasteful number, since it uses less digits than its factorization.

13634241113605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5643 (or 5636 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 13634241113605 in words is "thirteen trillion, six hundred thirty-four billion, two hundred forty-one million, one hundred thirteen thousand, six hundred five".

Divisors: 1 5 7 35 43 49 215 245 301 409 709 1505 2045 2107 2863 3545 4463 4963 10535 14315 17587 20041 22315 24815 30487 31241 34741 87935 100205 123109 152435 156205 173705 191909 213409 218687 289981 615545 861763 959545 1067045 1093435 1343363 1449905 1493863 1825367 2029867 3164267 4308815 6716815 7469315 9126835 9403541 10149335 12469183 12777569 14209069 15821335 22149869 47017705 62345915 63887845 71045345 78490781 87284281 89442983 110749345 136063481 155049083 392453905 436421405 447214915 549435467 610989967 680317405 775245415 952444367 1294185203 2747177335 3054949835 3846048269 4762221835 6470926015 6667110569 9059296421 19230241345 33335552845 45296482105 55649963729 63415074947 278249818645 317075374735 389549746103 1947748730515 2726848222721 13634241113605