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168318003321 = 34131491072793
BaseRepresentation
bin1001110011000010001…
…0001110100001111001
3121002110101000111110000
42130300202032201321
510224203402101241
6205154010543213
715106035264516
oct2346042164171
9532411014400
10168318003321
1165424141176
1228755437b09
1312b45642190
14820a51a30d
1545a1d50eb6
hex273088e879

168318003321 has 40 divisors (see below), whose sum is σ = 272596955400. Its totient is φ = 102885043968.

The previous prime is 168318003283. The next prime is 168318003331. The reversal of 168318003321 is 123300813861.

168318003321 is a `hidden beast` number, since 1 + 6 + 8 + 318 + 0 + 0 + 332 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14481474921 + 153836528400 = 120339^2 + 392220^2 .

It is not a de Polignac number, because 168318003321 - 211 = 168318001273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (168318003331) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 379500 + ... + 693293.

It is an arithmetic number, because the mean of its divisors is an integer number (6814923885).

Almost surely, 2168318003321 is an apocalyptic number.

It is an amenable number.

168318003321 is a deficient number, since it is larger than the sum of its proper divisors (104278952079).

168318003321 is a wasteful number, since it uses less digits than its factorization.

168318003321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072967 (or 1072958 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 168318003321 in words is "one hundred sixty-eight billion, three hundred eighteen million, three thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 149 351 447 1053 1341 1937 4023 5811 12069 17433 52299 156897 1072793 3218379 9655137 13946309 28965411 41838927 86896233 125516781 159846157 376550343 479538471 1129651029 1438615413 2078000041 4315846239 6234000123 12947538717 18702000369 56106001107 168318003321