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164022154332444 = 2232761108712894273
BaseRepresentation
bin100101010010110101100010…
…001111101000100100011100
3210111202100211221200102222100
4211102311202033220210130
5132444314333002114234
61340502423143245100
746356131614045452
oct4522654217504434
9714670757612870
10164022154332444
1148298450087801
1216490713749790
13706a2b85c99c5
142c70a00d209d2
1513e68d5294399
hex952d623e891c

164022154332444 has 144 divisors (see below), whose sum is σ = 415958005532160. Its totient is φ = 54496896491520.

The previous prime is 164022154332427. The next prime is 164022154332457. The reversal of 164022154332444 is 444233451220461.

164022154332444 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 22 + 154 + 3 + 32 + 444 = 666.

It is a super-2 number, since 2×1640221543324442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164022154332444.

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, 38385711492 + ... + 38385715764.

It is an arithmetic number, because the mean of its divisors is an integer number (2888597260640).

Almost surely, 2164022154332444 is an apocalyptic number.

It is an amenable number.

164022154332444 is an abundant number, since it is smaller than the sum of its proper divisors (251935851199716).

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

164022154332444 is a wasteful number, since it uses less digits than its factorization.

164022154332444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7420 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 164022154332444 in words is "one hundred sixty-four trillion, twenty-two billion, one hundred fifty-four million, three hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 761 1087 1289 1522 2174 2283 2578 3044 3261 3867 4273 4348 4566 5156 6522 6849 7734 8546 9132 9783 11601 12819 13044 13698 15468 17092 19566 23202 25638 27396 38457 39132 46404 51276 76914 153828 827207 980929 1401143 1654414 1961858 2481621 2802286 2942787 3251753 3308828 3923716 4203429 4644751 4963242 5507897 5604572 5885574 6503506 7444863 8406858 8828361 9289502 9755259 9926484 11015794 11771148 12610287 13007012 13934253 14889726 16523691 16813716 17656722 18579004 19510518 22031588 25220574 27868506 29265777 29779452 33047382 35313444 39021036 41802759 49571073 50441148 55737012 58531554 66094764 83605518 99142146 117063108 167211036 198284292 1066269823 2132539646 3198809469 3534655511 4191509617 4265079292 5987084039 6397618938 7069311022 8383019234 9596428407 10603966533 11974168078 12574528851 12795237876 14138622044 16766038468 17961252117 19192856814 21207933066 23948336156 25149057702 31811899599 35922504234 37723586553 38385713628 42415866132 50298115404 53883756351 63623799198 71845008468 75447173106 107767512702 127247598396 150894346212 215535025404 4556170953679 9112341907358 13668512861037 18224683814716 27337025722074 41005538583111 54674051444148 82011077166222 164022154332444