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12643731626141 = 7211295571452223
BaseRepresentation
bin1011011111111101100100…
…1000011101100010011101
31122202201200101200221111202
42313333121020131202131
53124123330244014031
642520241120525245
72443323312365600
oct267773110354235
948681611627452
1012643731626141
1140351a3977390
121502534180825
137093b6547445
14319d61c84337
1516dd5c1872cb
hexb7fd921d89d

12643731626141 has 48 divisors (see below), whose sum is σ = 16628197155840. Its totient is φ = 9495440680320.

The previous prime is 12643731626087. The next prime is 12643731626143. The reversal of 12643731626141 is 14162613734621.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-12643731626141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12643731626143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7980356 + ... + 9432578.

It is an arithmetic number, because the mean of its divisors is an integer number (346420774080).

Almost surely, 212643731626141 is an apocalyptic number.

12643731626141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12643731626141 is a deficient number, since it is larger than the sum of its proper divisors (3984465529699).

12643731626141 is a wasteful number, since it uses less digits than its factorization.

12643731626141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452834 (or 1452827 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The spelling of 12643731626141 in words is "twelve trillion, six hundred forty-three billion, seven hundred thirty-one million, six hundred twenty-six thousand, one hundred forty-one".

Divisors: 1 7 11 29 49 77 203 319 539 557 1421 2233 3899 6127 15631 16153 27293 42889 113071 177683 300223 791497 1243781 1452223 8706467 10165561 15974453 42114467 71158927 111821171 294801269 463259137 782748197 808888211 2063608883 3242813959 5662217477 8897770321 22699697713 23457758119 39635522339 62284392247 164204306833 258035339309 435990745729 1149430147831 1806247375163 12643731626141