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12181786116357 = 31121321910451149
BaseRepresentation
bin1011000101000100101100…
…0010001100000100000101
31121010120022121201122001210
42301101023002030010011
53044041244221210412
641524122453242033
72365051005343644
oct261211302140405
947116277648053
1012181786116357
1139772a2758700
121448ab3633319
136a49783a2a00
1430185cab935b
15161d2233d83c
hexb144b08c105

12181786116357 has 72 divisors (see below), whose sum is σ = 20349643188000. Its totient is φ = 6456301188480.

The previous prime is 12181786116299. The next prime is 12181786116373. The reversal of 12181786116357 is 75361168718121.

It is not a de Polignac number, because 12181786116357 - 215 = 12181786083589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 12181786116297 and 12181786116306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12181786116377) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4059982 + ... + 6391167.

Almost surely, 212181786116357 is an apocalyptic number.

It is an amenable number.

12181786116357 is a deficient number, since it is larger than the sum of its proper divisors (8167857071643).

12181786116357 is a wasteful number, since it uses less digits than its factorization.

12181786116357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10451219 (or 10451195 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 57.

The spelling of 12181786116357 in words is "twelve trillion, one hundred eighty-one billion, seven hundred eighty-six million, one hundred sixteen thousand, three hundred fifty-seven".

Divisors: 1 3 11 13 19 33 39 57 121 143 169 209 247 363 429 507 627 741 1573 1859 2299 2717 3211 4719 5577 6897 8151 9633 20449 29887 35321 61347 89661 105963 388531 1165593 10451149 31353447 114962639 135864937 198571831 344887917 407594811 595715493 1264589029 1494514307 1766244181 2184290141 2581433803 3793767087 4483542921 5298732543 6552870423 7744301409 16439657377 19428685991 24027191551 28395771833 33558639439 49318972131 58286057973 72081574653 85187315499 100675918317 213715545901 312353490163 369145033829 641146637703 937060470489 1107435101487 4060595372119 12181786116357