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6602442066 = 2321154760961
BaseRepresentation
bin1100010011000100…
…10100010101010010
3122001010122210211100
412021202110111102
5102010211121231
63011053125230
7322420555143
oct61142242522
918033583740
106602442066
1128889a74a0
121343189816
13812b3b06c
14468c2daca
152899891e6
hex189894552

6602442066 has 48 divisors (see below), whose sum is σ = 15634558368. Its totient is φ = 1997049600.

The previous prime is 6602442059. The next prime is 6602442071.

6602442066 is a `hidden beast` number, since 6 + 602 + 4 + 42 + 0 + 6 + 6 = 666.

6602442066 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6602442066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77826 + ... + 138786.

It is an arithmetic number, because the mean of its divisors is an integer number (325719966).

Almost surely, 26602442066 is an apocalyptic number.

6602442066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6602442066 is an abundant number, since it is smaller than the sum of its proper divisors (9032116302).

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

6602442066 is a wasteful number, since it uses less digits than its factorization.

6602442066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61527 (or 61524 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6602442066 is about 81255.4125335660. The cubic root of 6602442066 is about 1876.0087789773.

The spelling of 6602442066 in words is "six billion, six hundred two million, four hundred forty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 547 1094 1641 3282 4923 6017 9846 12034 18051 36102 54153 60961 108306 121922 182883 365766 548649 670571 1097298 1341142 2011713 4023426 6035139 12070278 33345667 66691334 100037001 200074002 300111003 366802337 600222006 733604674 1100407011 2200814022 3301221033 6602442066