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9444306169422 = 234618179116849
BaseRepresentation
bin1000100101101110110010…
…0000111010111001001110
31020102212101221020210210000
42021123230200322321032
52214213414334410142
632030353201425130
71663220465620005
oct211335440727116
936385357223700
109444306169422
113011342690373
12108645303b1a6
1353679574cc17
1424916d307c3c
15115a04b5e14c
hex896ec83ae4e

9444306169422 has 80 divisors (see below), whose sum is σ = 21511977498000. Its totient is φ = 3096088738560.

The previous prime is 9444306169381. The next prime is 9444306169433. The reversal of 9444306169422 is 2249616034449.

9444306169422 is a `hidden beast` number, since 9 + 4 + 4 + 430 + 6 + 169 + 42 + 2 = 666.

9444306169422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80766454 + ... + 80883302.

It is an arithmetic number, because the mean of its divisors is an integer number (268899718725).

Almost surely, 29444306169422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9444306169422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755988749000).

9444306169422 is an abundant number, since it is smaller than the sum of its proper divisors (12067671328578).

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

9444306169422 is a wasteful number, since it uses less digits than its factorization.

9444306169422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125103 (or 125094 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 9444306169422 in words is "nine trillion, four hundred forty-four billion, three hundred six million, one hundred sixty-nine thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1647 3294 4941 8179 9882 16358 24537 49074 73611 116849 147222 220833 233698 350547 441666 498919 662499 701094 997838 1051641 1324998 1496757 2103282 2993514 3154923 4490271 6309846 7127789 8980542 9464769 13470813 14255578 18929538 21383367 26941626 40412439 42766734 64150101 80824878 128300202 192450303 384900606 577350909 955707971 1154701818 1911415942 2867123913 5734247826 8601371739 17202743478 25804115217 51608230434 58298186231 77412345651 116596372462 154824691302 174894558693 349789117386 524683676079 1049367352158 1574051028237 3148102056474 4722153084711 9444306169422