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163655135142066 = 2344947720417909
BaseRepresentation
bin100101001101011111101110…
…001100100010000010110010
3210110110021111202022210110000
4211031133232030202002302
5132422311204044021231
61340022044200250430
746320456545311401
oct4515375614420262
9713407452283400
10163655135142066
1148166831341867
1216431565770a16
1370417c7a79239
142c5ad45015638
1513dc0a40276e6
hex94d7ee3220b2

163655135142066 has 40 divisors (see below), whose sum is σ = 366716158405740. Its totient is φ = 54550606475232.

The previous prime is 163655135142047. The next prime is 163655135142113. The reversal of 163655135142066 is 660241531556361.

163655135142066 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 55 + 13 + 514 + 2 + 0 + 66 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159093343994841 + 4561791147225 = 12613221^2 + 2135835^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2193681 + ... + 18224228.

Almost surely, 2163655135142066 is an apocalyptic number.

163655135142066 is an abundant number, since it is smaller than the sum of its proper divisors (203061023263674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163655135142066 is a wasteful number, since it uses less digits than its factorization.

163655135142066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20467400 (or 20467391 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 163655135142066 in words is "one hundred sixty-three trillion, six hundred fifty-five billion, one hundred thirty-five million, one hundred forty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 49477 98954 148431 296862 445293 890586 1335879 2671758 4007637 8015274 20417909 40835818 61253727 122507454 183761181 367522362 551283543 1102567086 1653850629 3307701258 1010216883593 2020433767186 3030650650779 6061301301558 9091951952337 18183903904674 27275855857011 54551711714022 81827567571033 163655135142066