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805066330344 = 233233149579491
BaseRepresentation
bin10111011011100011011…
…00010101000011101000
32211222000110022222200020
423231301230111003220
5101142233440032334
61413501541240440
7112110202620303
oct13556154250350
92758013288606
10805066330344
11290476a56771
1211003b103120
135abc0790693
142ad73171b3a
1515e1ce9be49
hexbb71b150e8

805066330344 has 128 divisors (see below), whose sum is σ = 2168586362880. Its totient is φ = 248331283200.

The previous prime is 805066330339. The next prime is 805066330349. The reversal of 805066330344 is 443033660508.

805066330344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (805066330339) and next prime (805066330349).

It is a junction number, because it is equal to n+sod(n) for n = 805066330296 and 805066330305.

It is not an unprimeable number, because it can be changed into a prime (805066330349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84819439 + ... + 84828929.

It is an arithmetic number, because the mean of its divisors is an integer number (16942080960).

Almost surely, 2805066330344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805066330344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084293181440).

805066330344 is an abundant number, since it is smaller than the sum of its proper divisors (1363520032536).

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

805066330344 is a wasteful number, since it uses less digits than its factorization.

805066330344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14511 (or 14507 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 805066330344 in words is "eight hundred five billion, sixty-six million, three hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 4957 5704 8556 9491 9914 14871 17112 18982 19828 28473 29742 37964 39656 56946 59484 75928 113892 114011 118968 153667 218293 227784 228022 294221 307334 342033 436586 456044 461001 588442 614668 654879 684066 873172 882663 912088 922002 1176884 1229336 1309758 1368132 1746344 1765326 1844004 2353768 2619516 2736264 3530652 3534341 3688008 5239032 6767083 7061304 7068682 10603023 13534166 14137364 20301249 21206046 27068332 28274728 40602498 42412092 47046887 54136664 81204996 84824184 94093774 141140661 162409992 188187548 282281322 376375096 564562644 1082078401 1129125288 1458453497 2164156802 2916906994 3246235203 4328313604 4375360491 5833813988 6492470406 8656627208 8750720982 11667627976 12984940812 17501441964 25969881624 33544430431 35002883928 67088860862 100633291293 134177721724 201266582586 268355443448 402533165172 805066330344