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13531642339149 = 35112716481873
BaseRepresentation
bin1100010011101001010010…
…1111000001111101001101
31202220121112102100121200000
43010322110233001331031
53233200300414323044
644440203424554513
72564425466046504
oct304722457017515
952817472317600
1013531642339149
114347812370a00
121626633782a39
1377204a50949c
1434ad1384983b
15186ec81a7d69
hexc4e94bc1f4d

13531642339149 has 72 divisors (see below), whose sum is σ = 22593634854336. Its totient is φ = 8085487132800.

The previous prime is 13531642339139. The next prime is 13531642339169. The reversal of 13531642339149 is 94193324613531.

13531642339149 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 164 + 2 + 339 + 149 = 666.

It is not a de Polignac number, because 13531642339149 - 27 = 13531642339021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13531642339095 and 13531642339104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531642339139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1153324 + ... + 5328549.

It is an arithmetic number, because the mean of its divisors is an integer number (313800484088).

Almost surely, 213531642339149 is an apocalyptic number.

It is an amenable number.

13531642339149 is a deficient number, since it is larger than the sum of its proper divisors (9061992515187).

13531642339149 is an equidigital number, since it uses as much as digits as its factorization.

13531642339149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481981 (or 6481958 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 13531642339149 in words is "thirteen trillion, five hundred thirty-one billion, six hundred forty-two million, three hundred thirty-nine thousand, one hundred forty-nine".

Divisors: 1 3 9 11 27 33 71 81 99 121 213 243 297 363 639 781 891 1089 1917 2343 2673 3267 5751 7029 8591 9801 17253 21087 25773 29403 63261 77319 189783 231957 695871 2087613 6481873 19445619 58336857 71300603 175010571 213901809 460212983 525031713 641705427 784306633 1380638949 1575095139 1925116281 2352919899 4141916847 5062342813 5775348843 7058759697 12425750541 15187028439 17326046529 21176279091 37277251623 45561085317 55685770943 63528837273 111831754869 136683255951 167057312829 190586511819 410049767853 501171938487 1230149303559 1503515815461 4510547446383 13531642339149