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800821398208 = 26131660357973
BaseRepresentation
bin10111010011101001010…
…11001100101011000000
32211120001121202002111111
423221310223030223000
5101110040234220313
61411520421453104
7111600046366666
oct13516453145300
92746047662444
10800821398208
11289698890397
1210b255571194
135a6951b2210
142aa8d4a0c36
1515c7049443d
hexba74accac0

800821398208 has 56 divisors (see below), whose sum is σ = 1711503326288. Its totient is φ = 369581239296.

The previous prime is 800821398187. The next prime is 800821398211. The reversal of 800821398208 is 802893128008.

It is a super-2 number, since 2×8008213982082 (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 13784710 + ... + 13842682.

It is an arithmetic number, because the mean of its divisors is an integer number (30562559398).

Almost surely, 2800821398208 is an apocalyptic number.

It is an amenable number.

800821398208 is an abundant number, since it is smaller than the sum of its proper divisors (910681928080).

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

800821398208 is a wasteful number, since it uses less digits than its factorization.

800821398208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74601 (or 74591 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

The spelling of 800821398208 in words is "eight hundred billion, eight hundred twenty-one million, three hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 16603 33206 57973 66412 115946 132824 215839 231892 265648 431678 463784 531296 753649 863356 927568 1062592 1507298 1726712 1855136 3014596 3453424 3710272 6029192 6906848 12058384 13813696 24116768 48233536 962525719 1925051438 3850102876 7700205752 12512834347 15400411504 25025668694 30800823008 50051337388 61601646016 100102674776 200205349552 400410699104 800821398208