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13067937927 = 3411217107733
BaseRepresentation
bin11000010101110100…
…01110100010000111
31020201201122000210000
430022322032202013
5203230343003202
610000415132343
7641556432252
oct141272164207
936651560700
1013067937927
1155a6568200
1226485140b3
13130349aa65
148bd7b2099
155173c191c
hex30ae8e887

13067937927 has 120 divisors (see below), whose sum is σ = 22963037328. Its totient is φ = 7374343680.

The previous prime is 13067937917. The next prime is 13067937929. The reversal of 13067937927 is 72973976031.

It is a happy number.

It is not a de Polignac number, because 13067937927 - 212 = 13067933831 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13067937929) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17827653 + ... + 17828385.

Almost surely, 213067937927 is an apocalyptic number.

13067937927 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13067937927 is a deficient number, since it is larger than the sum of its proper divisors (9895099401).

13067937927 is a wasteful number, since it uses less digits than its factorization.

13067937927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 13067937927 in words is "thirteen billion, sixty-seven million, nine hundred thirty-seven thousand, nine hundred twenty-seven".

Divisors: 1 3 9 11 17 27 33 51 81 99 107 121 153 187 297 321 363 459 561 733 891 963 1089 1177 1377 1683 1819 2057 2199 2889 3267 3531 5049 5457 6171 6597 8063 8667 9801 10593 12461 12947 15147 16371 18513 19791 20009 24189 31779 37383 38841 49113 55539 59373 60027 72567 78431 88693 95337 112149 116523 137071 147339 166617 180081 217701 220099 235293 266079 336447 349569 411213 540243 653103 660297 705879 798237 862741 1009341 1048707 1233639 1333327 1507781 1620729 1980891 2117637 2394711 2588223 3700917 3999981 4523343 5942673 6352911 7184133 7764669 9490151 11102751 11999943 13570029 14666597 17828019 23294007 28470453 35999829 40710087 43999791 69882021 85411359 107999487 122130261 131999373 161332567 256234077 395998119 483997701 768702231 1187994357 1451993103 4355979309 13067937927