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81681718712 = 231131532292467
BaseRepresentation
bin100110000010010011…
…1000001110110111000
321210211112120020101012
41030010213001312320
52314241004444322
6101305110413052
75621102103416
oct1140447016670
9253745506335
1081681718712
1131706223260
12139b7061188
137919680349
143d4c2622b6
1521d0e60ae2
hex13049c1db8

81681718712 has 128 divisors (see below), whose sum is σ = 176558745600. Its totient is φ = 35084275200.

The previous prime is 81681718691. The next prime is 81681718733. The reversal of 81681718712 is 21781718618.

It is an interprime number because it is at equal distance from previous prime (81681718691) and next prime (81681718733).

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, 33108503 + ... + 33110969.

It is an arithmetic number, because the mean of its divisors is an integer number (1379365200).

Almost surely, 281681718712 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 81681718712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88279372800).

81681718712 is an abundant number, since it is smaller than the sum of its proper divisors (94877026888).

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

81681718712 is a wasteful number, since it uses less digits than its factorization.

81681718712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2793 counting only the distinct ones).

The product of its digits is 301056, while the sum is 50.

The spelling of 81681718712 in words is "eighty-one billion, six hundred eighty-one million, seven hundred eighteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 53 62 88 106 124 212 229 248 341 424 458 583 682 916 1166 1364 1643 1832 2332 2467 2519 2728 3286 4664 4934 5038 6572 7099 9868 10076 12137 13144 14198 18073 19736 20152 24274 27137 28396 36146 48548 54274 56792 72292 76477 78089 97096 108548 130751 133507 144584 152954 156178 217096 261502 267014 305908 312356 376247 523004 534028 564943 611816 624712 752494 841247 1046008 1068056 1129886 1438261 1504988 1682494 2259772 2876522 3009976 3364988 4053281 4138717 4519544 5753044 6214373 6729976 8106562 8277434 11506088 12428746 16213124 16554868 17513233 24857492 29941979 32426248 33109736 35026466 44586091 49714984 59883958 70052932 89172182 119767916 140105864 178344364 192645563 239535832 329361769 356688728 385291126 658723538 770582252 928201349 1317447076 1541164504 1856402698 2634894152 3712805396 7425610792 10210214839 20420429678 40840859356 81681718712