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12263748271489 = 111347107131349373
BaseRepresentation
bin1011001001110110000001…
…0110111111110110000001
31121102101212200222111220001
42302131200112333312001
53101412124024141424
642025515502520001
72404012054226311
oct262354026776601
947371780874801
1012263748271489
1139a90322029a0
121460968596001
136ac60ab91260
143057d629b441
1516401cbe6844
hexb27605bfd81

12263748271489 has 128 divisors (see below), whose sum is σ = 15048314265600. Its totient is φ = 9847148313600.

The previous prime is 12263748271487. The next prime is 12263748271507. The reversal of 12263748271489 is 98417284736221.

It is not a de Polignac number, because 12263748271489 - 21 = 12263748271487 is a prime.

It is a super-3 number, since 3×122637482714893 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12263748271489.

It is not an unprimeable number, because it can be changed into a prime (12263748271483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32878681507 + ... + 32878681879.

It is an arithmetic number, because the mean of its divisors is an integer number (117564955200).

Almost surely, 212263748271489 is an apocalyptic number.

It is an amenable number.

12263748271489 is a deficient number, since it is larger than the sum of its proper divisors (2784565994111).

12263748271489 is a wasteful number, since it uses less digits than its factorization.

12263748271489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031.

The product of its digits is 65028096, while the sum is 64.

The spelling of 12263748271489 in words is "twelve trillion, two hundred sixty-three billion, seven hundred forty-eight million, two hundred seventy-one thousand, four hundred eighty-nine".

Divisors: 1 11 13 47 107 131 143 349 373 517 611 1177 1391 1441 1703 3839 4103 4537 4849 5029 6157 6721 14017 15301 16403 17531 18733 37343 39911 45719 48863 49907 53339 55319 65377 67727 80041 130177 154187 180433 182221 192841 213239 227903 410773 439021 485459 502909 518843 537493 594347 635219 658799 719147 880451 1431947 1692301 1755121 1875817 2004431 2148793 2296561 2345629 2506933 4891933 5228341 5340049 5707273 6118319 6537817 6987409 7246789 8564387 13928939 17053187 18615311 19306331 20633987 22816573 23636723 24385621 25262171 27934309 29855293 53811263 57511751 63595129 67301509 67968433 79538147 94208257 153218329 181076207 187585057 221691431 229920851 245732027 250982303 268241831 307277399 328408223 654660133 699546419 747652763 801499789 874919617 1824691009 1991838277 2438605741 2529129361 2703052297 2988971063 3194516351 7201261463 8510581729 8816497679 10419497257 20071601099 23720983117 32878681693 35139679861 85760477423 93616399019 114614469827 260930814287 943365251653 1114886206499 12263748271489