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81076298121 = 32741321492
BaseRepresentation
bin100101110000010000…
…1100010000110001001
321202021100100200110100
41023200201202012021
52312021013014441
6101125042240013
75600101110000
oct1134041420611
9252240320410
1081076298121
1131425502865
1213868356009
137851107400
143cd1aa7c37
152197c21cb6
hex12e0862189

81076298121 has 135 divisors (see below), whose sum is σ = 148937654229. Its totient is φ = 42478502976.

The previous prime is 81076298059. The next prime is 81076298129. The reversal of 81076298121 is 12189267018.

The square root of 81076298121 is 284739.

It is a perfect power (a square), and thus also a powerful number.

81076298121 is a `hidden beast` number, since 8 + 1 + 0 + 7 + 629 + 8 + 12 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43879775625 + 37196522496 = 209475^2 + 192864^2 .

It is not a de Polignac number, because 81076298121 - 27 = 81076297993 is a prime.

It is a super-2 number, since 2×810762981212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81076298129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 544136155 + ... + 544136303.

Almost surely, 281076298121 is an apocalyptic number.

81076298121 is the 284739-th square number.

81076298121 is the 142370-th centered octagonal number.

It is an amenable number.

81076298121 is a deficient number, since it is larger than the sum of its proper divisors (67861356108).

81076298121 is an equidigital number, since it uses as much as digits as its factorization.

81076298121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 81076298121 in words is "eighty-one billion, seventy-six million, two hundred ninety-eight thousand, one hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 149 169 273 343 441 447 507 637 819 1029 1043 1183 1341 1521 1911 1937 2401 3087 3129 3549 4459 5733 5811 7203 7301 8281 9387 10647 13377 13559 17433 21609 21903 22201 24843 25181 31213 40131 40677 51107 57967 65709 66603 74529 75543 93639 94913 122031 153321 155407 173901 176267 199809 226629 280917 284739 288613 357749 405769 459963 466221 521703 528801 664391 854217 865839 1073247 1087849 1217307 1233869 1398663 1586403 1993173 2020291 2597517 3219741 3263547 3651921 3701607 3751969 4650737 5979519 6060873 7614943 8637083 9790641 11104821 11255907 13952211 14142037 18182619 22844829 25911249 26263783 33767721 41856633 42426111 53304601 60459581 68534487 77733747 78791349 98994259 127278333 159913803 181378743 183846481 236374047 296982777 479741409 544136229 551539443 692959813 890948331 1286925367 1654618329 2078879439 3860776101 6236638317 9008477569 11582328303 27025432707 81076298121