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820805425748 = 2271110325873327
BaseRepresentation
bin10111111000110111101…
…00001101101001010100
32220110122100012212122122
423330123310031221110
5101422002142110443
61425023420515112
7113205216000650
oct13743364155124
92813570185578
10820805425748
112971132a0030
121130b20aba98
135c52b486999
142ba275c9a60
151653eb07968
hexbf1bd0da54

820805425748 has 48 divisors (see below), whose sum is σ = 1808235147264. Its totient is φ = 316689510240.

The previous prime is 820805425747. The next prime is 820805425777. The reversal of 820805425748 is 847524508028.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 820805425748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820805425747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12904940 + ... + 12968387.

It is an arithmetic number, because the mean of its divisors is an integer number (37671565568).

Almost surely, 2820805425748 is an apocalyptic number.

It is an amenable number.

820805425748 is an abundant number, since it is smaller than the sum of its proper divisors (987429721516).

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

820805425748 is a wasteful number, since it uses less digits than its factorization.

820805425748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25873452 (or 25873450 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 53.

The spelling of 820805425748 in words is "eight hundred twenty billion, eight hundred five million, four hundred twenty-five thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 103 154 206 308 412 721 1133 1442 2266 2884 4532 7931 15862 31724 25873327 51746654 103493308 181113289 284606597 362226578 569213194 724453156 1138426388 1992246179 2664952681 3984492358 5329905362 7968984716 10659810724 18654668767 29314479491 37309337534 58628958982 74618675068 117257917964 205201356437 410402712874 820805425748