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12655526004 = 22321131913901
BaseRepresentation
bin10111100100101010…
…00000000001110100
31012122222121022222100
423302111000001310
5201404303313004
65451443502100
7625421124162
oct136225000164
935588538870
1012655526004
115404795000
122552387930
131268c01b34
14880ada232
154e10aa739
hex2f2540074

12655526004 has 144 divisors (see below), whose sum is σ = 37041600960. Its totient is φ = 3632904000.

The previous prime is 12655525999. The next prime is 12655526029. The reversal of 12655526004 is 40062555621.

12655526004 is a `hidden beast` number, since 126 + 5 + 5 + 526 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12655526004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 903454 + ... + 917354.

It is an arithmetic number, because the mean of its divisors is an integer number (257233340).

Almost surely, 212655526004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12655526004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18520800480).

12655526004 is an abundant number, since it is smaller than the sum of its proper divisors (24386074956).

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

12655526004 is a wasteful number, since it uses less digits than its factorization.

12655526004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13963 (or 13936 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 12655526004 in words is "twelve billion, six hundred fifty-five million, five hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 121 132 171 198 209 228 242 342 363 396 418 484 627 684 726 836 1089 1254 1331 1452 1881 2178 2299 2508 2662 3762 3993 4356 4598 5324 6897 7524 7986 9196 11979 13794 13901 15972 20691 23958 25289 27588 27802 41382 41703 47916 50578 55604 75867 82764 83406 101156 125109 151734 152911 166812 227601 250218 264119 303468 305822 455202 458733 500436 528238 611644 792357 910404 917466 1056476 1376199 1584714 1682021 1834932 2377071 2752398 2905309 3169428 3364042 4754142 5046063 5504796 5810618 6728084 8715927 9508284 10092126 11621236 15138189 17431854 18502231 20184252 26147781 30276378 31958399 34863708 37004462 52295562 55506693 60552756 63916798 74008924 95875197 104591124 111013386 127833596 166520079 191750394 222026772 287625591 333040158 351542389 383500788 575251182 666080316 703084778 1054627167 1150502364 1406169556 2109254334 3163881501 4218508668 6327763002 12655526004