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803844604032 = 27341103495701
BaseRepresentation
bin10111011001010001101…
…11110100000010000000
32211211212022102212020120
423230220313310002000
5101132233204312112
61413140415340240
7112035006253101
oct13545067640200
92754768385216
10803844604032
1128a9aa3606a8
1210b959b21680
135aa576300c2
142ac98bc83a8
1515d9aabde8c
hexbb28df4080

803844604032 has 128 divisors (see below), whose sum is σ = 2208530862720. Its totient is φ = 258874368000.

The previous prime is 803844604009. The next prime is 803844604067. The reversal of 803844604032 is 230406448308.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8038446040322 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373782 + ... + 1869482.

It is an arithmetic number, because the mean of its divisors is an integer number (17254147365).

Almost surely, 2803844604032 is an apocalyptic number.

803844604032 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803844604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104265431360).

803844604032 is an abundant number, since it is smaller than the sum of its proper divisors (1404686258688).

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

803844604032 is a wasteful number, since it uses less digits than its factorization.

803844604032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495862 (or 495850 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 803844604032 in words is "eight hundred three billion, eight hundred forty-four million, six hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 103 123 128 164 192 206 246 309 328 384 412 492 618 656 824 984 1236 1312 1648 1968 2472 2624 3296 3936 4223 4944 5248 6592 7872 8446 9888 12669 13184 15744 16892 19776 25338 33784 39552 50676 67568 101352 135136 202704 270272 405408 495701 540544 810816 991402 1487103 1621632 1982804 2974206 3965608 5948412 7931216 11896824 15862432 20323741 23793648 31724864 40647482 47587296 51057203 60971223 63449728 81294964 95174592 102114406 121942446 153171609 162589928 190349184 204228812 243884892 306343218 325179856 408457624 487769784 612686436 650359712 816915248 975539568 1225372872 1300719424 1633830496 1951079136 2093345323 2450745744 2601438848 3267660992 3902158272 4186690646 4901491488 6280035969 6535321984 7804316544 8373381292 9802982976 12560071938 16746762584 19605965952 25120143876 33493525168 50240287752 66987050336 100480575504 133974100672 200961151008 267948201344 401922302016 803844604032