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85755484220505 = 351117231936887219
BaseRepresentation
bin10011011111111010000001…
…001011001010110001011001
3102020122010220010210222121220
4103133322001023022301121
542220004212430024010
6502215305305522253
724030425561603031
oct2337720113126131
9366563803728556
1085755484220505
1125362773224390
12974bba21a3389
1338b09273b0708
14172683247c8c1
159daa6c2ab970
hex4dfe812cac59

85755484220505 has 128 divisors (see below), whose sum is σ = 166234790522880. Its totient is φ = 37237259304960.

The previous prime is 85755484220453. The next prime is 85755484220509. The reversal of 85755484220505 is 50502248455758.

85755484220505 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 85755484220505 - 28 = 85755484220249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85755484220509) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9007786 + ... + 15895004.

It is an arithmetic number, because the mean of its divisors is an integer number (1298709300960).

Almost surely, 285755484220505 is an apocalyptic number.

85755484220505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85755484220505 is a deficient number, since it is larger than the sum of its proper divisors (80479306302375).

85755484220505 is a wasteful number, since it uses less digits than its factorization.

85755484220505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6887471.

The product of its (nonzero) digits is 89600000, while the sum is 60.

The spelling of 85755484220505 in words is "eighty-five trillion, seven hundred fifty-five billion, four hundred eighty-four million, two hundred twenty thousand, five hundred five".

Divisors: 1 3 5 11 15 17 23 33 51 55 69 85 115 165 187 193 253 255 345 391 561 579 759 935 965 1173 1265 1955 2123 2805 2895 3281 3795 4301 4439 5865 6369 9843 10615 12903 13317 16405 21505 22195 31845 36091 48829 49215 64515 66585 75463 108273 146487 180455 226389 244145 377315 541365 732435 830093 1131945 2490279 4150465 6887219 12451395 20661657 34436095 75759409 103308285 117082723 158406037 227278227 351248169 378797045 475218111 585413615 792030185 1136391135 1287909953 1329233267 1742466407 1756240845 2376090555 2692902629 3863729859 3987699801 5227399221 6439549765 6646166335 8078707887 8712332035 13464513145 14621565937 19318649295 19938499005 22596965539 26136996105 29621928919 30572365141 40393539435 43864697811 67790896617 73107829685 88865786757 91717095423 112984827695 148109644595 152861825705 219323489055 248566620929 336296016551 338954483085 444328933785 458585477115 519730207397 745699862787 1008888049653 1242833104645 1559190622191 1681480082755 2598651036985 3728499313935 5044440248265 5717032281367 7795953110955 17151096844101 28585161406835 85755484220505