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162964429498164 = 223723375691445351
BaseRepresentation
bin100101000011011100011100…
…111011100110011100110100
3210101000020200021210121101010
4211003130130323212130310
5132330002122422420124
61334332454141232220
746216535324231100
oct4503343473463464
9711006607717333
10162964429498164
1147a1a90aa834a8
121633b721862670
136cc16310624b8
142c3574026a900
1513c912ade3529
hex94371cee6734

162964429498164 has 144 divisors (see below), whose sum is σ = 444424580046720. Its totient is φ = 46341482342400.

The previous prime is 162964429498159. The next prime is 162964429498181. The reversal of 162964429498164 is 461894924469261.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112028089 + ... + 113473439.

It is an arithmetic number, because the mean of its divisors is an integer number (3086281805880).

Almost surely, 2162964429498164 is an apocalyptic number.

162964429498164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162964429498164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222212290023360).

162964429498164 is an abundant number, since it is smaller than the sum of its proper divisors (281460150548556).

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

162964429498164 is a wasteful number, since it uses less digits than its factorization.

162964429498164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446278 (or 1446269 counting only the distinct ones).

The product of its digits is 1289945088, while the sum is 75.

The spelling of 162964429498164 in words is "one hundred sixty-two trillion, nine hundred sixty-four billion, four hundred twenty-nine million, four hundred ninety-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 337 569 588 674 1011 1138 1348 1707 2022 2276 2359 3414 3983 4044 4718 6828 7077 7966 9436 11949 14154 15932 16513 23898 27881 28308 33026 47796 49539 55762 66052 83643 99078 111524 167286 191753 198156 334572 383506 575259 767012 1150518 1342271 1445351 2301036 2684542 2890702 4026813 4336053 5369084 5781404 8053626 8672106 9395897 10117457 16107252 17344212 18791794 20234914 28187691 30352371 37583588 40469828 56375382 60704742 70822199 112750764 121409484 141644398 212466597 283288796 424933194 487083287 822404719 849866388 974166574 1461249861 1644809438 1948333148 2467214157 2922499722 3289618876 3409583009 4934428314 5756833033 5844999444 6819166018 9868856628 10228749027 11513666066 13638332036 17270499099 20457498054 23027332132 23867081063 34540998198 40297831231 40914996108 47734162126 69081996396 71601243189 80595662462 95468324252 120893493693 143202486378 161191324924 241786987386 277150390303 286404972756 483573974772 554300780606 831451170909 1108601561212 1662902341818 1940052732121 3325804683636 3880105464242 5820158196363 7760210928484 11640316392726 13580369124847 23280632785452 27160738249694 40741107374541 54321476499388 81482214749082 162964429498164