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85050914832 = 24321345433181
BaseRepresentation
bin100111100110101101…
…1011111100000010000
322010112100022010120200
41033031123133200100
52343141013233312
6103023304135200
76100432563552
oct1171533374020
9263470263520
1085050914832
113308502a164
1214597467500
1380356ac310
14418b8d14d2
15232bb310dc
hex13cd6df810

85050914832 has 60 divisors (see below), whose sum is σ = 256334012844. Its totient is φ = 26169511680.

The previous prime is 85050914821. The next prime is 85050914887. The reversal of 85050914832 is 23841905058.

85050914832 is a `hidden beast` number, since 8 + 50 + 509 + 14 + 83 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51041653776 + 34009261056 = 225924^2 + 184416^2 .

It is a super-2 number, since 2×850509148322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22714719 + ... + 22718462.

Almost surely, 285050914832 is an apocalyptic number.

It is an amenable number.

85050914832 is an abundant number, since it is smaller than the sum of its proper divisors (171283098012).

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

85050914832 is a wasteful number, since it uses less digits than its factorization.

85050914832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45433208 (or 45433199 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 85050914832 in words is "eighty-five billion, fifty million, nine hundred fourteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 45433181 90866362 136299543 181732724 272599086 363465448 408898629 545198172 590631353 726930896 817797258 1090396344 1181262706 1635594516 1771894059 2180792688 2362525412 3271189032 3543788118 4725050824 5315682177 6542378064 7087576236 9450101648 10631364354 14175152472 21262728708 28350304944 42525457416 85050914832