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12889773240084 = 2234133782709461
BaseRepresentation
bin1011101110010010001001…
…0110101110111100010100
31200122020202110101221210000
42323210202112232330110
53142141223422140314
643225251410331300
72500153411531326
oct273444226567424
950566673357700
1012889773240084
11411a581a5a5a4
12154215ab89b30
137266674c4c60
14327c22a95616
1517545c6eb209
hexbb9225aef14

12889773240084 has 120 divisors (see below), whose sum is σ = 37269214415048. Its totient is φ = 3858892565760.

The previous prime is 12889773240067. The next prime is 12889773240089. The reversal of 12889773240084 is 48004237798821.

12889773240084 is a `hidden beast` number, since 1 + 2 + 8 + 89 + 7 + 73 + 2 + 400 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5330418912900 + 7559354327184 = 2308770^2 + 2749428^2 .

It is a super-2 number, since 2×128897732400842 (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 (12889773240089) 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 39 ways as a sum of consecutive naturals, for example, 41198887 + ... + 41510574.

Almost surely, 212889773240084 is an apocalyptic number.

It is an amenable number.

12889773240084 is an abundant number, since it is smaller than the sum of its proper divisors (24379441174964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12889773240084 is a wasteful number, since it uses less digits than its factorization.

12889773240084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82709527 (or 82709516 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 12889773240084 in words is "twelve trillion, eight hundred eighty-nine billion, seven hundred seventy-three million, two hundred forty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 81 108 111 117 148 156 162 222 234 324 333 351 444 468 481 666 702 962 999 1053 1332 1404 1443 1924 1998 2106 2886 2997 3996 4212 4329 5772 5994 8658 11988 12987 17316 25974 38961 51948 77922 155844 82709461 165418922 248128383 330837844 496256766 744385149 992513532 1075222993 1488770298 2150445986 2233155447 2977540596 3060250057 3225668979 4300891972 4466310894 6120500114 6451337958 6699466341 8932621788 9180750171 9677006937 12241000228 12902675916 13398932682 18361500342 19354013874 26797865364 27542250513 29031020811 36723000684 38708027748 39783250741 55084501026 58062041622 79566501482 82626751539 87093062433 110169002052 116124083244 119349752223 159133002964 165253503078 174186124866 238699504446 247880254617 330507006156 348372249732 358049256669 477399008892 495760509234 716098513338 991521018468 1074147770007 1432197026676 2148295540014 3222443310021 4296591080028 6444886620042 12889773240084