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13745655542241 = 3271712834412271
BaseRepresentation
bin1100100000000110100011…
…1010100111000111100001
31210200001221100221202222100
43020001220322213013201
53300202100304322431
645122400022401013
72616043105212150
oct310015072470741
953601840852870
1013745655542241
11441a555228a87
121660000290169
13789295aaacbc
14357416a7d597
1518c8519bc4e6
hexc8068ea71e1

13745655542241 has 24 divisors (see below), whose sum is σ = 24026019773184. Its totient is φ = 7392621467520.

The previous prime is 13745655542231. The next prime is 13745655542243. The reversal of 13745655542241 is 14224555654731.

13745655542241 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 5 + 6 + 55 + 542 + 2 + 41 = 666.

It is not a de Polignac number, because 13745655542241 - 25 = 13745655542209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13745655542243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6417205065 + ... + 6417207206.

It is an arithmetic number, because the mean of its divisors is an integer number (1001084157216).

Almost surely, 213745655542241 is an apocalyptic number.

It is an amenable number.

13745655542241 is a deficient number, since it is larger than the sum of its proper divisors (10280364230943).

13745655542241 is a wasteful number, since it uses less digits than its factorization.

13745655542241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834412301 (or 12834412298 counting only the distinct ones).

The product of its digits is 20160000, while the sum is 54.

The spelling of 13745655542241 in words is "thirteen trillion, seven hundred forty-five billion, six hundred fifty-five million, five hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 12834412271 38503236813 89840885897 115509710439 218185008607 269522657691 654555025821 808567973073 1527295060249 1963665077463 4581885180747 13745655542241