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86170286046 = 231329151252283
BaseRepresentation
bin101000001000000100…
…1100011011111011110
322020102100121002012210
41100100021203133132
52402434043123141
6103330332141250
76140244226515
oct1202011433736
9266370532183
1086170286046
11335a9975339
121484a307826
138183583150
14425643367c
152395041916
hex14102637de

86170286046 has 64 divisors (see below), whose sum is σ = 193269726720. Its totient is φ = 25430025600.

The previous prime is 86170286023. The next prime is 86170286089. The reversal of 86170286046 is 64068207168.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86170285986 and 86170286004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215421 + ... + 467703.

It is an arithmetic number, because the mean of its divisors is an integer number (3019839480).

Almost surely, 286170286046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86170286046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96634863360).

86170286046 is an abundant number, since it is smaller than the sum of its proper divisors (107099440674).

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

86170286046 is a wasteful number, since it uses less digits than its factorization.

86170286046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252481.

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 86170286046 in words is "eighty-six billion, one hundred seventy million, two hundred eighty-six thousand, forty-six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 151 174 302 377 453 754 906 1131 1963 2262 3926 4379 5889 8758 11778 13137 26274 56927 113854 170781 252283 341562 504566 756849 1513698 3279679 6559358 7316207 9839037 14632414 19678074 21948621 38094733 43897242 76189466 95110691 114284199 190221382 228568398 285332073 495231529 570664146 990463058 1104747257 1485694587 2209494514 2971389174 3314241771 6628483542 14361714341 28723428682 43085143023 86170286046