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12280558556 = 2272375389359
BaseRepresentation
bin10110110111111101…
…00111001111011100
31011200212001000100002
423123332213033130
5200122310333211
65350330553432
7613216011500
oct133376471734
934625030302
1012280558556
115232067452
122468898878
1312093164c6
14846db0300
154bd1de03b
hex2dbfa73dc

12280558556 has 144 divisors (see below), whose sum is σ = 26527435200. Its totient is φ = 4953940992.

The previous prime is 12280558531. The next prime is 12280558559. The reversal of 12280558556 is 65585508221.

It is a self number, because there is not a number n which added to its sum of digits gives 12280558556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12280558559) 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 47 ways as a sum of consecutive naturals, for example, 34207505 + ... + 34207863.

It is an arithmetic number, because the mean of its divisors is an integer number (184218300).

Almost surely, 212280558556 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 12280558556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263717600).

12280558556 is an abundant number, since it is smaller than the sum of its proper divisors (14246876644).

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

12280558556 is a wasteful number, since it uses less digits than its factorization.

12280558556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 47.

The spelling of 12280558556 in words is "twelve billion, two hundred eighty million, five hundred fifty-eight thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 28 37 49 53 74 89 98 106 148 178 196 212 259 356 359 371 518 623 718 742 1036 1246 1436 1484 1813 1961 2492 2513 2597 3293 3626 3922 4361 4717 5026 5194 6586 7252 7844 8722 9434 10052 10388 13172 13283 13727 17444 17591 18868 19027 23051 26566 27454 31951 33019 35182 38054 46102 53132 54908 63902 66038 70364 76108 92204 92981 96089 127804 132076 133189 161357 174529 185962 192178 223657 231133 266378 322714 349058 371924 384356 447314 462266 532756 645428 650867 698116 703999 894628 924532 932323 1182187 1221703 1301734 1407998 1565599 1693403 1864646 2364374 2443406 2603468 2815996 3131198 3386806 3729292 4728748 4886812 4927993 6262396 6773612 8275309 8551921 9855986 11853821 16550618 17103842 19711972 23707642 33101236 34207684 34495951 47415284 57927163 62655911 68991902 82976747 115854326 125311822 137983804 165953494 231708652 250623644 331906988 438591377 877182754 1754365508 3070139639 6140279278 12280558556