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441805049172 = 223229537984621
BaseRepresentation
bin1100110110111011010…
…00100000110101010100
31120020101011010220110100
412123131220200311110
524214304043033142
6534543515254100
743630224645564
oct6333550406524
91506334126410
10441805049172
11160406483613
127175b74a330
133287b65ac26
141755239cda4
15b75bad4b4c
hex66dda20d54

441805049172 has 72 divisors (see below), whose sum is σ = 1177092975240. Its totient is φ = 139507280640.

The previous prime is 441805049159. The next prime is 441805049197. The reversal of 441805049172 is 271940508144.

441805049172 is a `hidden beast` number, since 4 + 41 + 8 + 0 + 50 + 491 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15179225616 + 426625823556 = 123204^2 + 653166^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3936979 + ... + 4047642.

It is an arithmetic number, because the mean of its divisors is an integer number (16348513545).

Almost surely, 2441805049172 is an apocalyptic number.

It is an amenable number.

441805049172 is an abundant number, since it is smaller than the sum of its proper divisors (735287926068).

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

441805049172 is a wasteful number, since it uses less digits than its factorization.

441805049172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984713 (or 7984708 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 441805049172 in words is "four hundred forty-one billion, eight hundred five million, forty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 87 106 116 159 174 212 261 318 348 477 522 636 954 1044 1537 1908 3074 4611 6148 9222 13833 18444 27666 55332 7984621 15969242 23953863 31938484 47907726 71861589 95815452 143723178 231554009 287446356 423184913 463108018 694662027 846369826 926216036 1269554739 1389324054 1692739652 2083986081 2539109478 2778648108 3808664217 4167972162 5078218956 7617328434 8335944324 12272362477 15234656868 24544724954 36817087431 49089449908 73634174862 110451262293 147268349724 220902524586 441805049172