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235070898608484 = 2234317226872
BaseRepresentation
bin110101011100101110110101…
…011010001001100101100100
31010211022120002002200102110000
4311130232311122021211210
5221302400200020432414
62151542025140301300
7100341212002010511
oct6534566532114544
91124276062612400
10235070898608484
11689a000aa84874
12224463943a1830
13a122124136c13
1442096c6846308
151c29b009eeb09
hexd5cbb5689964

235070898608484 has 135 divisors (see below), whose sum is σ = 616695943416553. Its totient is φ = 78080713830432.

The previous prime is 235070898608473. The next prime is 235070898608519. The reversal of 235070898608484 is 484806898070532.

The square root of 235070898608484 is 15332022.

It is a perfect power (a square), and thus also a powerful number.

235070898608484 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 7 + 0 + 8 + 9 + 8 + 608 + 4 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13158393502500 + 221912505105984 = 3627450^2 + 14896728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 87484516189 + ... + 87484518875.

Almost surely, 2235070898608484 is an apocalyptic number.

235070898608484 is the 15332022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235070898608484

235070898608484 is an abundant number, since it is smaller than the sum of its proper divisors (381625044808069).

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

235070898608484 is an frugal number, since it uses more digits than its factorization.

235070898608484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 235070898608484 in words is "two hundred thirty-five trillion, seventy billion, eight hundred ninety-eight million, six hundred eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 317 324 634 951 1268 1902 2687 2853 3804 5374 5706 8061 8559 10748 11412 16122 17118 24183 25677 32244 34236 48366 51354 72549 96732 100489 102708 145098 200978 217647 290196 301467 401956 435294 602934 851779 870588 904401 1205868 1703558 1808802 2555337 2713203 3407116 3617604 5110674 5426406 7219969 7666011 8139609 10221348 10852812 14439938 15332022 16279218 21659907 22998033 28879876 30664044 32558436 43319814 45996066 64979721 68994099 86639628 91992132 129959442 137988198 194939163 259918884 270013943 275976396 389878326 540027886 584817489 779756652 810041829 1080055772 1169634978 1620083658 2288730173 2339269956 2430125487 3240167316 4577460346 4860250974 6866190519 7290376461 9154920692 9720501948 13732381038 14580752922 20598571557 21871129383 27464762076 29161505844 41197143114 43742258766 61795714671 82394286228 87484517532 123591429342 185387144013 247182858684 370774288026 725527464841 741548576052 1451054929682 2176582394523 2902109859364 4353164789046 6529747183569 8706329578092 13059494367138 19589241550707 26118988734276 39178483101414 58767724652121 78356966202828 117535449304242 235070898608484