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85854534660 = 22335608926111
BaseRepresentation
bin100111111110101010…
…1000011110000000100
322012121100110020202000
41033331111003300010
52401312230102120
6103235132345300
76126361334526
oct1177525036004
9265540406660
1085854534660
1133457712684
1214780615230
13813302b9cb
14422651da16
152377470990
hex13fd543c04

85854534660 has 96 divisors (see below), whose sum is σ = 267157094400. Its totient is φ = 22889905920.

The previous prime is 85854534653. The next prime is 85854534707. The reversal of 85854534660 is 6643545858.

85854534660 is a `hidden beast` number, since 8 + 5 + 8 + 545 + 34 + 6 + 60 = 666.

It is a super-2 number, since 2×858545346602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85854534597 and 85854534606.

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, 3275005 + ... + 3301115.

It is an arithmetic number, because the mean of its divisors is an integer number (2782886400).

Almost surely, 285854534660 is an apocalyptic number.

It is an amenable number.

85854534660 is an abundant number, since it is smaller than the sum of its proper divisors (181302559740).

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

85854534660 is a wasteful number, since it uses less digits than its factorization.

85854534660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32218 (or 32210 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 85854534660 in words is "eighty-five billion, eight hundred fifty-four million, five hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 6089 12178 18267 24356 26111 30445 36534 52222 54801 60890 73068 78333 91335 104444 109602 121780 130555 156666 164403 182670 219204 234999 261110 274005 313332 328806 365340 391665 469998 522220 548010 657612 704997 783330 822015 939996 1096020 1174995 1409994 1566660 1644030 2349990 2819988 3288060 3524985 4699980 7049970 14099940 158989879 317979758 476969637 635959516 794949395 953939274 1430908911 1589898790 1907878548 2384848185 2861817822 3179797580 4292726733 4769696370 5723635644 7154544555 8585453466 9539392740 14309089110 17170906932 21463633665 28618178220 42927267330 85854534660