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12682266228621 = 33111492271262491
BaseRepresentation
bin1011100010001101000111…
…1110010011011110001101
31122220102010221100120112000
42320203101332103132031
53130241240123303441
642550052551102513
72446156244166453
oct270432176233615
948812127316460
1012682266228621
11404a5787295a0
121509aa9371a39
1370cc17b31582
1431bb799989d3
1516ed651ac2b6
hexb88d1f9378d

12682266228621 has 64 divisors (see below), whose sum is σ = 20725068672000. Its totient is φ = 7600997793600.

The previous prime is 12682266228587. The next prime is 12682266228637.

12682266228621 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 2 + 2 + 6 + 6 + 2 + 2 + 8 + 621 = 666.

12682266228621 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12682266228621 - 26 = 12682266228557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12682266228421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9414186 + ... + 10676676.

It is an arithmetic number, because the mean of its divisors is an integer number (323829198000).

Almost surely, 212682266228621 is an apocalyptic number.

12682266228621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12682266228621 is a deficient number, since it is larger than the sum of its proper divisors (8042802443379).

12682266228621 is a wasteful number, since it uses less digits than its factorization.

12682266228621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262887 (or 1262881 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 12682266228621 in words is "twelve trillion, six hundred eighty-two billion, two hundred sixty-six million, two hundred twenty-eight thousand, six hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 149 227 297 447 681 1341 1639 2043 2497 4023 4917 6129 7491 14751 22473 33823 44253 67419 101469 304407 372053 913221 1116159 1262491 3348477 3787473 10045431 11362419 13887401 34087257 41662203 124986609 188111159 286585457 374959827 564333477 859756371 1693000431 2069222749 2579269113 3152440027 5079001293 6207668247 7737807339 9457320081 18623004741 28371960243 42701233093 55869014223 85115880729 128103699279 384311097837 469713564023 1152933293511 1409140692069 4227422076207 12682266228621