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81853317744 = 24311414780449
BaseRepresentation
bin100110000111011010…
…1101000001001110000
321211021111110100222220
41030032311220021300
52320113422131434
6101334120401040
75625254502222
oct1141665501160
9254244410886
1081853317744
1131794078140
1213a44616180
1379460a2433
143d66d70412
1521e1059d49
hex130ed68270

81853317744 has 160 divisors (see below), whose sum is σ = 241334553600. Its totient is φ = 23683891200.

The previous prime is 81853317647. The next prime is 81853317757. The reversal of 81853317744 is 44771335818.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977232 + ... + 1057680.

It is an arithmetic number, because the mean of its divisors is an integer number (1508340960).

Almost surely, 281853317744 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 81853317744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120667276800).

81853317744 is an abundant number, since it is smaller than the sum of its proper divisors (159481235856).

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

81853317744 is a wasteful number, since it uses less digits than its factorization.

81853317744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80559 (or 80553 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 81853317744 in words is "eighty-one billion, eight hundred fifty-three million, three hundred seventeen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 47 48 66 82 88 94 123 132 141 164 176 188 246 264 282 328 376 451 492 517 528 564 656 752 902 984 1034 1128 1353 1551 1804 1927 1968 2068 2256 2706 3102 3608 3854 4136 5412 5781 6204 7216 7708 8272 10824 11562 12408 15416 21197 21648 23124 24816 30832 42394 46248 63591 80449 84788 92496 127182 160898 169576 241347 254364 321796 339152 482694 508728 643592 884939 965388 1017456 1287184 1769878 1930776 2654817 3298409 3539756 3781103 3861552 5309634 6596818 7079512 7562206 9895227 10619268 11343309 13193636 14159024 15124412 19790454 21238536 22686618 26387272 30248824 36282499 39580908 41592133 42477072 45373236 52774544 60497648 72564998 79161816 83184266 90746472 108847497 124776399 145129996 155025223 158323632 166368532 181492944 217694994 249552798 290259992 310050446 332737064 435389988 465075669 499105596 580519984 620100892 665474128 870779976 930151338 998211192 1240201784 1705277453 1741559952 1860302676 1996422384 2480403568 3410554906 3720605352 5115832359 6821109812 7441210704 10231664718 13642219624 20463329436 27284439248 40926658872 81853317744