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80727844872708 = 2232118912743179749
BaseRepresentation
bin10010010110101111101010…
…100001000110001000000100
3101120211111200022101111212200
4102112233222201012020010
541040121111241411313
6443405505430114500
723001252152344635
oct2226575241061004
9346744608344780
1080727844872708
11237a4539950830
12907971baaba30
1336077ac0442a7
1415d1369dc788c
1594edb3313b73
hex496bea846204

80727844872708 has 144 divisors (see below), whose sum is σ = 225133337520000. Its totient is φ = 24186085608960.

The previous prime is 80727844872707. The next prime is 80727844872713.

80727844872708 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 78 + 4 + 487 + 2 + 70 + 8 = 666.

80727844872708 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (80727844872707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449024418 + ... + 449204166.

It is an arithmetic number, because the mean of its divisors is an integer number (1563425955000).

Almost surely, 280727844872708 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 80727844872708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112566668760000).

80727844872708 is an abundant number, since it is smaller than the sum of its proper divisors (144405492647292).

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

80727844872708 is a wasteful number, since it uses less digits than its factorization.

80727844872708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192602 (or 192597 counting only the distinct ones).

The product of its (nonzero) digits is 629407744, while the sum is 72.

The spelling of 80727844872708 in words is "eighty trillion, seven hundred twenty-seven billion, eight hundred forty-four million, eight hundred seventy-two thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 979 1068 1602 1958 2937 3204 3916 5874 8811 11748 12743 17622 25486 35244 38229 50972 76458 114687 140173 152916 179749 229374 280346 359498 420519 458748 539247 560692 718996 841038 1078494 1134127 1261557 1617741 1682076 1977239 2156988 2268254 2523114 3235482 3402381 3954478 4536508 5046228 5931717 6470964 6804762 7908956 10207143 11863434 12475397 13609524 15997661 17795151 20414286 23726868 24950794 31995322 35590302 37426191 40828572 47992983 49901588 63990644 71180604 74852382 95985966 112278573 143978949 149704764 175974271 191971932 224557146 287957898 351948542 449114292 527922813 575915796 703897084 1055845626 1583768439 2111691252 2290541507 3167536878 4581083014 6335073756 6871624521 9162166028 13743249042 20614873563 25195956577 27486498084 41229747126 50391913154 75587869731 82459494252 100783826308 151175739462 203858194123 226763609193 302351478924 407716388246 453527218386 611574582369 815432776492 907054436772 1223149164738 1834723747107 2242440135353 2446298329476 3669447494214 4484880270706 6727320406059 7338894988428 8969760541412 13454640812118 20181961218177 26909281624236 40363922436354 80727844872708