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81911039076 = 22341132698317
BaseRepresentation
bin100110001001001000…
…1110100010001100100
321211102112001220210000
41030102101310101210
52320223211222301
6101343541501300
75626555226046
oct1142221642144
9254375056700
1081911039076
1131813712019
1213a5ba11830
137955032179
143d708b7a96
1521e615c786
hex1312474464

81911039076 has 120 divisors (see below), whose sum is σ = 216855749880. Its totient is φ = 26958210048.

The previous prime is 81911039071. The next prime is 81911039101. The reversal of 81911039076 is 67093011918.

81911039076 is a `hidden beast` number, since 8 + 191 + 1 + 0 + 390 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1385626176 + 80525412900 = 37224^2 + 283770^2 .

It is not an unprimeable number, because it can be changed into a prime (81911039071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9844470 + ... + 9852786.

It is an arithmetic number, because the mean of its divisors is an integer number (1807131249).

Almost surely, 281911039076 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 81911039076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108427874940).

81911039076 is an abundant number, since it is smaller than the sum of its proper divisors (134944710804).

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

81911039076 is a wasteful number, since it uses less digits than its factorization.

81911039076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8715 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 81911039076 in words is "eighty-one billion, nine hundred eleven million, thirty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 269 324 339 452 538 678 807 1017 1076 1356 1614 2034 2421 3051 3228 4068 4842 6102 7263 8317 9153 9684 12204 14526 16634 18306 21789 24951 29052 30397 33268 36612 43578 49902 60794 74853 87156 91191 99804 121588 149706 182382 224559 273573 299412 364764 449118 547146 673677 820719 898236 939821 1094292 1347354 1641438 1879642 2237273 2462157 2694708 2819463 3282876 3759284 4474546 4924314 5638926 6711819 8458389 8949092 9848628 11277852 13423638 16916778 20135457 25375167 26847276 33833556 40270914 50750334 60406371 76125501 80541828 101500668 120812742 152251002 181219113 241625484 252811849 304502004 362438226 505623698 724876452 758435547 1011247396 1516871094 2275306641 3033742188 4550613282 6825919923 9101226564 13651839846 20477759769 27303679692 40955519538 81911039076