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181034328852 = 223213386825489
BaseRepresentation
bin1010100010011001111…
…1001010001100010100
3122022021121000202200200
42220212133022030110
510431224242010402
6215055505540500
716036125256056
oct2504637121424
9568247022620
10181034328852
116a85a182813
122b104044730
13140c1010b60
148a953218d6
154a9841b21c
hex2a267ca314

181034328852 has 36 divisors (see below), whose sum is σ = 492815674260. Its totient is φ = 55702870272.

The previous prime is 181034328833. The next prime is 181034328877. The reversal of 181034328852 is 258823430181.

181034328852 is a `hidden beast` number, since 18 + 10 + 343 + 288 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29243052036 + 151791276816 = 171006^2 + 389604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 181034328798 and 181034328807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193412277 + ... + 193413212.

It is an arithmetic number, because the mean of its divisors is an integer number (13689324285).

Almost surely, 2181034328852 is an apocalyptic number.

181034328852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

181034328852 is an abundant number, since it is smaller than the sum of its proper divisors (311781345408).

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

181034328852 is a wasteful number, since it uses less digits than its factorization.

181034328852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386825512 (or 386825507 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 181034328852 in words is "one hundred eighty-one billion, thirty-four million, three hundred twenty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 386825489 773650978 1160476467 1547301956 2320952934 3481429401 4641905868 5028731357 6962858802 10057462714 13925717604 15086194071 20114925428 30172388142 45258582213 60344776284 90517164426 181034328852