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85491688414671 = 3571113291343771
BaseRepresentation
bin10011011100000100010101…
…101110000001110111001111
3102012200220222202110120200000
4103130010111232001313033
542201143434213232141
6501454201154135343
724002366510341020
oct2334042556016717
9365626882416600
1085491688414671
112527090438a010
129708a41581553
133891aa7108006
141717b69748c47
159d3c7d2465b6
hex4dc115b81dcf

85491688414671 has 96 divisors (see below), whose sum is σ = 159673722464256. Its totient is φ = 44407796076000.

The previous prime is 85491688414669. The next prime is 85491688414673. The reversal of 85491688414671 is 17641488619458.

85491688414671 is a `hidden beast` number, since 8 + 5 + 4 + 91 + 68 + 8 + 414 + 67 + 1 = 666.

85491688414671 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (85491688414669) and next prime (85491688414673).

It is not a de Polignac number, because 85491688414671 - 21 = 85491688414669 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85491688414671.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85491688414673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248516016 + ... + 248859786.

It is an arithmetic number, because the mean of its divisors is an integer number (1663267942336).

Almost surely, 285491688414671 is an apocalyptic number.

85491688414671 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85491688414671 is a deficient number, since it is larger than the sum of its proper divisors (74182034049585).

85491688414671 is a wasteful number, since it uses less digits than its factorization.

85491688414671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357095 (or 357083 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 85491688414671 in words is "eighty-five trillion, four hundred ninety-one billion, six hundred eighty-eight million, four hundred fourteen thousand, six hundred seventy-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 891 1701 2079 2673 6237 13291 18711 39873 93037 119619 146201 279111 343771 358857 438603 837333 1023407 1031313 1076571 1315809 2406397 2511999 3070221 3093939 3229713 3781481 3947427 7219191 7535997 9210663 9281817 11344443 11842281 21657573 22607991 26470367 27631989 27845451 34033329 35526843 64972719 79411101 82895967 83536353 102099987 194918157 238233303 248687901 306299961 584754471 714699909 918899883 2144099727 4569060361 6432299181 13707181083 31983422527 41121543249 50259663971 95950267581 123364629747 150778991913 287850802743 351817647797 370093889241 452336975739 863552408229 1055452943391 1110281667723 1357010927217 2590657224687 3166358830173 4071032781651 7771971674061 9499076490519 12213098344953 28497229471557 85491688414671