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6044166324 = 2233723334313
BaseRepresentation
bin1011010000100001…
…01010100010110100
3120121020011110111000
411220100222202310
544334301310244
62435431243300
7302531365110
oct55020524264
916536143430
106044166324
112621857689
121208219530
13754290aa1
14414a28740
1525595e169
hex16842a8b4

6044166324 has 96 divisors (see below), whose sum is σ = 17986026240. Its totient is φ = 1719442944.

The previous prime is 6044166319. The next prime is 6044166391. The reversal of 6044166324 is 4236614406.

6044166324 is a `hidden beast` number, since 6 + 0 + 4 + 4 + 16 + 632 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158992 + ... + 193304.

It is an arithmetic number, because the mean of its divisors is an integer number (187354440).

Almost surely, 26044166324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6044166324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993013120).

6044166324 is an abundant number, since it is smaller than the sum of its proper divisors (11941859916).

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

6044166324 is a wasteful number, since it uses less digits than its factorization.

6044166324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34566 (or 34558 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6044166324 is about 77744.2365966764. The cubic root of 6044166324 is about 1821.5683381902.

The spelling of 6044166324 in words is "six billion, forty-four million, one hundred sixty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 233 252 378 466 699 756 932 1398 1631 2097 2796 3262 4194 4893 6291 6524 8388 9786 12582 14679 19572 25164 29358 34313 44037 58716 68626 88074 102939 137252 176148 205878 240191 308817 411756 480382 617634 720573 926451 960764 1235268 1441146 1852902 2161719 2882292 3705804 4323438 6485157 7994929 8646876 12970314 15989858 23984787 25940628 31979716 47969574 55964503 71954361 95939148 111929006 143908722 167893509 215863083 223858012 287817444 335787018 431726166 503680527 671574036 863452332 1007361054 1511041581 2014722108 3022083162 6044166324