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12263666636221 = 71113231289413243
BaseRepresentation
bin1011001001110101101101…
…1111100101010110111101
31121102101200000101000100121
42302131123133211112331
53101411442124324341
642025503425054541
72404010043312520
oct262353337452675
947371600330317
1012263666636221
1139a8aa0115130
121460945187451
136ac5c6caa770
143057c94cabb7
1516401596d4d1
hexb275b7e55bd

12263666636221 has 64 divisors (see below), whose sum is σ = 17195182018560. Its totient is φ = 8430930224640.

The previous prime is 12263666636203. The next prime is 12263666636237.

12263666636221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12263666636221 - 221 = 12263664539069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12263666636281) 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, 29470026 + ... + 29883268.

It is an arithmetic number, because the mean of its divisors is an integer number (268674719040).

Almost surely, 212263666636221 is an apocalyptic number.

12263666636221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12263666636221 is a deficient number, since it is larger than the sum of its proper divisors (4931515382339).

12263666636221 is a wasteful number, since it uses less digits than its factorization.

12263666636221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414586.

The product of its digits is 6718464, while the sum is 52.

The spelling of 12263666636221 in words is "twelve trillion, two hundred sixty-three billion, six hundred sixty-six million, six hundred thirty-six thousand, two hundred twenty-one".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 1001 1289 1771 2093 3289 9023 14179 16757 23023 29647 99253 117299 184327 207529 326117 385411 413243 1290289 2282819 2697877 2892701 4239521 4545673 5372159 9504589 29676647 31819711 37605113 59093749 66532123 104550479 123559657 413656243 532670227 731853353 864917599 1359156227 3728691589 5859372497 6924712951 9514093589 12251415221 41015607479 48472990657 76171842461 85759906547 134765567431 159268397873 533202897227 943358972017 1114878785111 1751952376603 12263666636221