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164053045234674 = 232471491936743267
BaseRepresentation
bin100101010011010010010011…
…011111000100101111110010
3210111212022120210100212110100
4211103102103133010233302
5133000321114040002144
61340524532322413230
746361304252302061
oct4523222337045762
9714768523325410
10164053045234674
11482aa5621a9872
12164966b4b01216
13707019c42148b
142c722d17d81d8
1513e75e21ee269
hex9534937c4bf2

164053045234674 has 96 divisors (see below), whose sum is σ = 367340872953600. Its totient is φ = 52886194477056.

The previous prime is 164053045234607. The next prime is 164053045234679. The reversal of 164053045234674 is 476432540350461.

164053045234674 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 5 + 3 + 0 + 4 + 523 + 46 + 74 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164053045234674.

It is not an unprimeable number, because it can be changed into a prime (164053045234679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20956789 + ... + 27700055.

It is an arithmetic number, because the mean of its divisors is an integer number (3826467426600).

Almost surely, 2164053045234674 is an apocalyptic number.

164053045234674 is an abundant number, since it is smaller than the sum of its proper divisors (203287827718926).

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

164053045234674 is a wasteful number, since it uses less digits than its factorization.

164053045234674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743664 (or 6743661 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 164053045234674 in words is "one hundred sixty-four trillion, fifty-three billion, forty-five million, two hundred thirty-four thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 47 94 141 149 193 282 298 386 423 447 579 846 894 1158 1341 1737 2682 3474 7003 9071 14006 18142 21009 27213 28757 42018 54426 57514 63027 81639 86271 126054 163278 172542 258813 517626 1351579 2703158 4054737 6743267 8109474 12164211 13486534 20229801 24328422 40459602 60689403 121378806 316933549 633867098 950800647 1004746783 1301450531 1901601294 2009493566 2602901062 2852401941 3014240349 3904351593 5704803882 6028480698 7808703186 9042721047 11713054779 18085442094 23426109558 47223098801 61168174957 94446197602 122336349914 141669296403 183504524871 193916129119 283338592806 367009049742 387832258238 425007889209 550513574613 581748387357 850015778418 1101027149226 1163496774714 1745245162071 3490490324142 9114058068593 18228116137186 27342174205779 54684348411558 82026522617337 164053045234674