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13775482161 = 31272232
BaseRepresentation
bin11001101010001010…
…10010110100110001
31022120001000000000000
430311011102310301
5211203010412121
610154532220213
7665240444400
oct146505226461
938501000000
1013775482161
11592999a701
12280546a669
1313b6c4bc9c
14949751637
15559584526
hex335152d31

13775482161 has 117 divisors (see below), whose sum is σ = 25127311881. Its totient is φ = 7529456088.

The previous prime is 13775482151. The next prime is 13775482169. The reversal of 13775482161 is 16128457731.

The square root of 13775482161 is 117369.

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

13775482161 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 5 + 482 + 161 = 666.

It is not a de Polignac number, because 13775482161 - 213 = 13775473969 is a prime.

Its product of digits (282240) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (13775482169) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 598933996 + ... + 598934018.

Almost surely, 213775482161 is an apocalyptic number.

13775482161 is the 117369-th square number.

13775482161 is the 58685-th centered octagonal number.

It is an amenable number.

13775482161 is a deficient number, since it is larger than the sum of its proper divisors (11351829720).

13775482161 is an frugal number, since it uses more digits than its factorization.

13775482161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 33 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 13775482161 in words is "thirteen billion, seven hundred seventy-five million, four hundred eighty-two thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 147 161 189 207 243 441 483 529 567 621 729 1127 1323 1449 1587 1701 1863 2187 3381 3703 3969 4347 4761 5103 5589 6561 10143 11109 11907 13041 14283 15309 16767 19683 25921 30429 33327 35721 39123 42849 45927 50301 59049 77763 91287 99981 107163 117369 128547 137781 150903 177147 233289 273861 299943 321489 352107 385641 413343 452709 531441 699867 821583 899829 964467 1056321 1156923 1240029 1358127 2099601 2464749 2699487 2893401 3168963 3470769 3720087 4074381 6298803 7394247 8098461 8680203 9506889 10412307 12223143 18896409 22182741 24295383 26040609 28520667 31236921 56689227 66548223 72886149 85562001 93710763 170067681 199644669 218658447 281132289 510203043 598934007 655975341 1530609129 1967926023 4591827387 13775482161