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85514465783760 = 243513191442551717
BaseRepresentation
bin10011011100011001100011…
…010110110010111111010000
3102012210002210011002211001120
4103130121203112302333100
542202032111220040020
6501512445300202240
724004134115645626
oct2334314326627720
9365702704084046
1085514465783760
112527a532639592
129711339699380
133893c970180c0
141718cca843516
159d4662c2b740
hex4dc6635b2fd0

85514465783760 has 160 divisors (see below), whose sum is σ = 300512373893760. Its totient is φ = 19941834921984.

The previous prime is 85514465783759. The next prime is 85514465783767. The reversal of 85514465783760 is 6738756441558.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85514465783767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721216579 + ... + 721335138.

It is an arithmetic number, because the mean of its divisors is an integer number (1878202336836).

Almost surely, 285514465783760 is an apocalyptic number.

85514465783760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85514465783760 is an abundant number, since it is smaller than the sum of its proper divisors (214997908110000).

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

85514465783760 is a wasteful number, since it uses less digits than its factorization.

85514465783760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442551765 (or 1442551759 counting only the distinct ones).

The product of its (nonzero) digits is 677376000, while the sum is 69.

The spelling of 85514465783760 in words is "eighty-five trillion, five hundred fourteen billion, four hundred sixty-five million, seven hundred eighty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 19760 29640 59280 1442551717 2885103434 4327655151 5770206868 7212758585 8655310302 11540413736 14425517170 17310620604 18753172321 21638275755 23080827472 27408482623 28851034340 34621241208 37506344642 43276551510 54816965246 56259516963 57702068680 69242482416 75012689284 82225447869 86553103020 93765861605 109633930492 112519033926 115404137360 137042413115 150025378568 164450895738 173106206040 187531723210 219267860984 225038067852 274084826230 281297584815 300050757136 328901791476 346212412080 356310274099 375063446420 411127239345 438535721968 450076135704 548169652460 562595169630 657803582952 712620548198 750126892840 822254478690 900152271408 1068930822297 1096339304920 1125190339260 1315607165904 1425241096396 1500253785680 1644508957380 1781551370495 2137861644594 2192678609840 2250380678520 2850482192792 3289017914760 3563102740990 4275723289188 4500761357040 5344654111485 5700964385584 6578035829520 7126205481980 8551446578376 10689308222970 14252410963960 17102893156752 21378616445940 28504821927920 42757232891880 85514465783760