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85405826184 = 2337598616407
BaseRepresentation
bin100111110001010010…
…1010111110010001000
322011110002010111102120
41033202211113302020
52344402342414214
6103122423131240
76112302354540
oct1174245276210
9264402114376
1085405826184
11332473a9328
12146762a3b20
138091094b33
1441c2aba320
15234cd89ea9
hex13e2957c88

85405826184 has 64 divisors (see below), whose sum is σ = 248152550400. Its totient is φ = 23988074304.

The previous prime is 85405826183. The next prime is 85405826189. The reversal of 85405826184 is 48162850458.

It is not an unprimeable number, because it can be changed into a prime (85405826183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4298292 + ... + 4318115.

It is an arithmetic number, because the mean of its divisors is an integer number (3877383600).

Almost surely, 285405826184 is an apocalyptic number.

85405826184 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85405826184 is an abundant number, since it is smaller than the sum of its proper divisors (162746724216).

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

85405826184 is a wasteful number, since it uses less digits than its factorization.

85405826184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616482 (or 8616478 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 51.

The spelling of 85405826184 in words is "eighty-five billion, four hundred five million, eight hundred twenty-six thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 8616407 17232814 25849221 34465628 51698442 60314849 68931256 103396884 120629698 180944547 206793768 241259396 361889094 482518792 508368013 723778188 1016736026 1447556376 1525104039 2033472052 3050208078 3558576091 4066944104 6100416156 7117152182 10675728273 12200832312 14234304364 21351456546 28468608728 42702913092 85405826184