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13464268858161 = 3211225124432
BaseRepresentation
bin1100001111101110010011…
…1101100110001100110001
31202200011122001021011112100
43003323210331212030301
53231044310311430121
644345222201251013
72556522063650622
oct303734475461461
952604561234470
1013464268858161
114321189837500
121615570493a69
137688a128b4c4
143479619b9a49
15185383465026
hexc3ee4f66331

13464268858161 has 81 divisors (see below), whose sum is σ = 21511219206841. Its totient is φ = 8109305490000.

The previous prime is 13464268858153. The next prime is 13464268858177. The reversal of 13464268858161 is 16185886246431.

The square root of 13464268858161 is 3669369.

It is a perfect power (a square), and thus also a powerful number.

13464268858161 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 42 + 6 + 8 + 8 + 581 + 6 + 1 = 666.

It is not a de Polignac number, because 13464268858161 - 23 = 13464268858153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13464268858141) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30393383206 + ... + 30393383648.

Almost surely, 213464268858161 is an apocalyptic number.

13464268858161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13464268858161 is the 3669369-th square number.

13464268858161 is the 1834685-th centered octagonal number.

It is an amenable number.

13464268858161 is a deficient number, since it is larger than the sum of its proper divisors (8046950348680).

13464268858161 is an frugal number, since it uses more digits than its factorization.

13464268858161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 708 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 13464268858161 in words is "thirteen trillion, four hundred sixty-four billion, two hundred sixty-eight million, eight hundred fifty-eight thousand, one hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 251 363 443 753 1089 1329 2259 2761 3987 4873 8283 14619 24849 30371 43857 53603 63001 91113 111193 160809 189003 196249 273339 333579 482427 567009 588747 693011 1000737 1223123 1766241 2079033 2158739 3669369 6237099 6476217 7623121 11008107 13454353 19428651 22869363 23746129 27909443 40363059 49258499 68608089 71238387 83728329 121089177 147775497 213715161 251184987 307003873 443326491 541843489 921011619 1625530467 2763034857 3377042603 4876591401 5960278379 10131127809 12363883249 17880835137 30393383427 37091649747 53642505411 111274949241 136002715739 408008147217 1224024441651 1496029873129 4488089619387 13464268858161