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85830377184 = 2532298022143
BaseRepresentation
bin100111111101111100…
…0111001111011100000
322012112122222220220200
41033323320321323200
52401240034032214
6103232510505200
76125646111546
oct1177370717340
9265478886820
1085830377184
1133445012822
1214774505200
13812b021146
144223231d96
15237529cd09
hex13fbe39ee0

85830377184 has 36 divisors (see below), whose sum is σ = 244080135936. Its totient is φ = 28610125632.

The previous prime is 85830377159. The next prime is 85830377221. The reversal of 85830377184 is 48177303858.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85830377184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149010784 + ... + 149011359.

It is an arithmetic number, because the mean of its divisors is an integer number (6780003776).

Almost surely, 285830377184 is an apocalyptic number.

It is an amenable number.

85830377184 is an abundant number, since it is smaller than the sum of its proper divisors (158249758752).

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

85830377184 is a wasteful number, since it uses less digits than its factorization.

85830377184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298022159 (or 298022148 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 85830377184 in words is "eighty-five billion, eight hundred thirty million, three hundred seventy-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 298022143 596044286 894066429 1192088572 1788132858 2384177144 2682199287 3576265716 4768354288 5364398574 7152531432 9536708576 10728797148 14305062864 21457594296 28610125728 42915188592 85830377184