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85105696608 = 2532295505891
BaseRepresentation
bin100111101000010110…
…0011101111101100000
322010200011101100001100
41033100230131331200
52343244024242413
6103032542234400
76101666325312
oct1172054357540
9263604340040
1085105696608
1133102a46559
12145b1885a00
138043b5007a
144194cb17b2
152331852a73
hex13d0b1df60

85105696608 has 36 divisors (see below), whose sum is σ = 242019325548. Its totient is φ = 28368565440.

The previous prime is 85105696561. The next prime is 85105696619. The reversal of 85105696608 is 80669650158.

It is a happy number.

85105696608 is a `hidden beast` number, since 8 + 5 + 10 + 569 + 6 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 147752658 + ... + 147753233.

It is an arithmetic number, because the mean of its divisors is an integer number (6722759043).

Almost surely, 285105696608 is an apocalyptic number.

It is an amenable number.

85105696608 is an abundant number, since it is smaller than the sum of its proper divisors (156913628940).

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

85105696608 is a wasteful number, since it uses less digits than its factorization.

85105696608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295505907 (or 295505896 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 85105696608 in words is "eighty-five billion, one hundred five million, six hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 295505891 591011782 886517673 1182023564 1773035346 2364047128 2659553019 3546070692 4728094256 5319106038 7092141384 9456188512 10638212076 14184282768 21276424152 28368565536 42552848304 85105696608