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820818012 = 223721973471
BaseRepresentation
bin110000111011001…
…011000001011100
32010012111212122010
4300323023001130
53140112134022
6213240551220
726224560300
oct6073130134
92105455563
10820818012
1139136a7a3
121aaa82510
13101091741
147b027d00
154c0da50c
hex30ecb05c

820818012 has 72 divisors (see below), whose sum is σ = 2345226240. Its totient is φ = 222173280.

The previous prime is 820817989. The next prime is 820818023. The reversal of 820818012 is 210818028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25564 + ... + 47907.

Almost surely, 2820818012 is an apocalyptic number.

It is an amenable number.

820818012 is an abundant number, since it is smaller than the sum of its proper divisors (1524408228).

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

820818012 is a wasteful number, since it uses less digits than its factorization.

820818012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73511 (or 73502 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 820818012 is about 28649.9216752856. The cubic root of 820818012 is about 936.3012991952.

The spelling of 820818012 in words is "eight hundred twenty million, eight hundred eighteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1596 1862 2793 3724 5586 11172 73471 146942 220413 293884 440826 514297 881652 1028594 1395949 1542891 2057188 2791898 3085782 3600079 4187847 5583796 6171564 7200158 8375694 9771643 10800237 14400316 16751388 19543286 21600474 29314929 39086572 43200948 58629858 68401501 117259716 136803002 205204503 273606004 410409006 820818012