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85081054410 = 232511271110039
BaseRepresentation
bin100111100111100111…
…0011101110011001010
322010121110000101022100
41033033032131303022
52343221222220120
6103030302134230
76101250013212
oct1171716356312
9263543011270
1085081054410
11330a0045500
12145a5581376
13803ba029a1
1441918d9242
15232e5d6490
hex13cf39dcca

85081054410 has 144 divisors (see below), whose sum is σ = 246575871360. Its totient is φ = 20335022400.

The previous prime is 85081054403. The next prime is 85081054507. The reversal of 85081054410 is 1445018058.

85081054410 is a `hidden beast` number, since 8 + 508 + 105 + 4 + 41 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 718171 + ... + 828209.

It is an arithmetic number, because the mean of its divisors is an integer number (1712332440).

Almost surely, 285081054410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85081054410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123287935680).

85081054410 is an abundant number, since it is smaller than the sum of its proper divisors (161494816950).

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

85081054410 is a wasteful number, since it uses less digits than its factorization.

85081054410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110145 (or 110131 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 85081054410 in words is "eighty-five billion, eighty-one million, fifty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 121 142 165 198 213 242 330 355 363 426 495 605 639 710 726 781 990 1065 1089 1210 1278 1562 1815 2130 2178 2343 3195 3630 3905 4686 5445 6390 7029 7810 8591 10890 11715 14058 17182 23430 25773 35145 42955 51546 70290 77319 85910 110039 128865 154638 220078 257730 330117 386595 550195 660234 773190 990351 1100390 1210429 1650585 1980702 2420858 3301170 3631287 4951755 6052145 7262574 7812769 9903510 10893861 12104290 13314719 15625538 18156435 21787722 23438307 26629438 36312870 39063845 39944157 46876614 54469305 66573595 70314921 78127690 79888314 85940459 108938610 117191535 119832471 133147190 140629842 171880918 199720785 234383070 239664942 257821377 351574605 399441570 429702295 515642754 599162355 703149210 773464131 859404590 945345049 1198324710 1289106885 1546928262 1890690098 2578213770 2836035147 3867320655 4726725245 5672070294 7734641310 8508105441 9453450490 14180175735 17016210882 28360351470 42540527205 85081054410