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844474616209 = 72434712
BaseRepresentation
bin11000100100111101001…
…11000000100110010001
32222201201212222022222101
430102132213000212101
5102313441000204314
61443540221440401
7115003603542100
oct14223647004621
92881655868871
10844474616209
112a61599a6164
121177b8a10101
1361831088923
142cc30d12037
1516e77a51174
hexc49e9c0991

844474616209 has 45 divisors (see below), whose sum is σ = 1020102079641. Its totient is φ = 697044229560.

The previous prime is 844474616207. The next prime is 844474616213. The reversal of 844474616209 is 902616474448.

The square root of 844474616209 is 918953.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 844474616209 - 21 = 844474616207 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 844474616209.

It is not an unprimeable number, because it can be changed into a prime (844474616207) 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 44 ways as a sum of consecutive naturals, for example, 11894008644 + ... + 11894008714.

Almost surely, 2844474616209 is an apocalyptic number.

844474616209 is the 918953-rd square number.

844474616209 is the 459477-th centered octagonal number.

It is an amenable number.

844474616209 is a deficient number, since it is larger than the sum of its proper divisors (175627463432).

844474616209 is an frugal number, since it uses more digits than its factorization.

844474616209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 844474616209 in words is "eight hundred forty-four billion, four hundred seventy-four million, six hundred sixteen thousand, two hundred nine".

Divisors: 1 7 43 49 71 301 497 1849 2107 3053 3479 5041 12943 21371 35287 79507 90601 131279 149597 216763 247009 556549 918953 1517341 3418801 3895843 5644997 6432671 9320809 10621387 23931607 39514979 65245663 167521249 242734871 276604853 400794787 456719641 1699144097 2805563509 11894008679 17234175841 19638944563 120639230887 844474616209