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85481518460 = 225131672298597
BaseRepresentation
bin100111110011100011…
…0000111010101111100
322011122100120001201012
41033213012013111330
52400031232042320
6103134125334352
76114211626662
oct1174706072574
9264570501635
1085481518460
11332860a8028
12146977073b8
1380a3977570
1441ccb80c32
15235483c4c5
hex13e718757c

85481518460 has 96 divisors (see below), whose sum is σ = 195349311360. Its totient is φ = 31232775168.

The previous prime is 85481518459. The next prime is 85481518471. The reversal of 85481518460 is 6481518458.

It is a junction number, because it is equal to n+sod(n) for n = 85481518399 and 85481518408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9938882 + ... + 9947478.

It is an arithmetic number, because the mean of its divisors is an integer number (2034888660).

Almost surely, 285481518460 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 85481518460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97674655680).

85481518460 is an abundant number, since it is smaller than the sum of its proper divisors (109867792900).

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

85481518460 is a wasteful number, since it uses less digits than its factorization.

85481518460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9015 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 50.

The spelling of 85481518460 in words is "eighty-five billion, four hundred eighty-one million, five hundred eighteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 167 229 260 334 458 668 835 916 1145 1670 2171 2290 2977 3340 4342 4580 5954 8597 8684 10855 11908 14885 17194 21710 29770 34388 38243 42985 43420 59540 76486 85970 111761 152972 171940 191215 223522 382430 447044 497159 558805 764860 994318 1117610 1435699 1968713 1988636 2235220 2485795 2871398 3937426 4971590 5742796 7178495 7874852 9843565 9943180 14356990 18664087 19687130 25593269 28713980 37328174 39374260 51186538 74656348 93320435 102373076 127966345 186640870 255932690 328775071 373281740 511865380 657550142 1315100284 1643875355 3287750710 4274075923 6575501420 8548151846 17096303692 21370379615 42740759230 85481518460