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12202656642 = 2361122632
BaseRepresentation
bin10110101110101010…
…11100001110000010
31011111102110012000000
423113111130032002
5144442340003032
65334505140430
7611251604301
oct132725341602
934442405000
1012202656642
1151a2099600
12244678a716
1311c613c0b7
1483a8d2438
154b6451e7c
hex2d755c382

12202656642 has 126 divisors (see below), whose sum is σ = 30280217331. Its totient is φ = 3683714760.

The previous prime is 12202656637. The next prime is 12202656667. The reversal of 12202656642 is 24665620221.

12202656642 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 2 + 6 + 5 + 6 + 642 = 666.

12202656642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6101328321 + 6101328321 = 78111^2 + 78111^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78111.

It is a junction number, because it is equal to n+sod(n) for n = 12202656597 and 12202656606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 46397803 + ... + 46398065.

Almost surely, 212202656642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202656642

12202656642 is an abundant number, since it is smaller than the sum of its proper divisors (18077560689).

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

12202656642 is an frugal number, since it uses more digits than its factorization.

12202656642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12202656642 in words is "twelve billion, two hundred two million, six hundred fifty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 263 297 363 486 526 594 726 729 789 891 1089 1458 1578 1782 2178 2367 2673 2893 3267 4734 5346 5786 6534 7101 8019 8679 9801 14202 16038 17358 19602 21303 26037 29403 31823 42606 52074 58806 63646 63909 69169 78111 88209 95469 127818 138338 156222 176418 190938 191727 207507 234333 286407 383454 415014 468666 572814 622521 702999 760859 859221 1245042 1405998 1521718 1718442 1867563 2108997 2282577 2577663 3735126 4217994 4565154 5155326 5602689 6847731 7732989 8369449 11205378 13695462 15465978 16738898 16808067 20543193 23198967 25108347 33616134 41086386 46397934 50216694 50424201 61629579 75325041 100848402 123259158 150650082 184888737 225975123 369777474 451950246 554666211 677925369 1109332422 1355850738 2033776107 4067552214 6101328321 12202656642