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8005327812 = 22321716997699
BaseRepresentation
bin1110111010010011…
…11001101111000100
3202122220102210021200
413131021321233010
5112343330442222
63402205542500
7402244110066
oct73511715704
922586383250
108005327812
1134388872a9
121674b74a30
139a768a181
1455d293736
1531cbedeac
hex1dd279bc4

8005327812 has 72 divisors (see below), whose sum is σ = 21441420000. Its totient is φ = 2509671168.

The previous prime is 8005327789. The next prime is 8005327819. The reversal of 8005327812 is 2187235008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8005327819) by changing a digit.

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, 1035939 + ... + 1043637.

It is an arithmetic number, because the mean of its divisors is an integer number (297797500).

Almost surely, 28005327812 is an apocalyptic number.

It is an amenable number.

8005327812 is an abundant number, since it is smaller than the sum of its proper divisors (13436092188).

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

8005327812 is a wasteful number, since it uses less digits than its factorization.

8005327812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8005327812 is about 89472.4975173936. The cubic root of 8005327812 is about 2000.4438858087.

The spelling of 8005327812 in words is "eight billion, five million, three hundred twenty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1699 3398 5097 6796 7699 10194 15291 15398 20388 23097 28883 30582 30796 46194 57766 61164 69291 86649 92388 115532 130883 138582 173298 259947 261766 277164 346596 392649 519894 523532 785298 1039788 1177947 1570596 2355894 4711788 13080601 26161202 39241803 52322404 78483606 117725409 156967212 222370217 235450818 444740434 470901636 667110651 889480868 1334221302 2001331953 2668442604 4002663906 8005327812