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204637802897889 = 3143122112
BaseRepresentation
bin101110100001110111110011…
…100011001010000111100001
3222211120011221100000000000000
4232201313303203022013201
5203310241210020213024
62003121150413050213
761050410344440144
oct5641676343120741
9884504840000000
10204637802897889
115a22744a926189
121ab50216186969
138a2535383ba3a
143876745a9005b
15189d173a55cc9
hexba1df38ca1e1

204637802897889 has 135 divisors (see below), whose sum is σ = 318688262406657. Its totient is φ = 131398680961800.

The previous prime is 204637802897861. The next prime is 204637802897893. The reversal of 204637802897889 is 988798208736402.

The square root of 204637802897889 is 14305167.

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

204637802897889 is a `hidden beast` number, since 2 + 0 + 463 + 7 + 8 + 0 + 2 + 8 + 9 + 78 + 89 = 666.

It is not a de Polignac number, because 204637802897889 - 225 = 204637769343457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (204637802897189) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 969847406994 + ... + 969847407204.

Almost surely, 2204637802897889 is an apocalyptic number.

204637802897889 is the 14305167-th square number.

204637802897889 is the 7152584-th centered octagonal number.

It is an amenable number.

204637802897889 is a deficient number, since it is larger than the sum of its proper divisors (114050459508768).

204637802897889 is an frugal number, since it uses more digits than its factorization.

204637802897889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4682022912, while the sum is 81.

204637802897889 divided by its sum of digits (81) gives a square (2526392628369 = 15894632).

The spelling of 204637802897889 in words is "two hundred four trillion, six hundred thirty-seven billion, eight hundred two million, eight hundred ninety-seven thousand, eight hundred eighty-nine".

Divisors: 1 3 9 27 31 81 93 211 243 279 633 729 837 961 1899 2187 2511 2883 5697 6541 6561 7533 8649 17091 19623 19683 22599 25947 44521 51273 58869 59049 67797 77841 133563 153819 176607 177147 202771 203391 233523 400689 461457 529821 531441 608313 610173 700569 1202067 1380151 1384371 1589463 1594323 1824939 1830519 2101707 3606201 4140453 4153113 4768389 4782969 5474817 5491557 6305121 10818603 12421359 12459339 14305167 16424451 16474671 18915363 32455809 37264077 37378017 42784681 42915501 49273353 49424013 56746089 97367427 111792231 112134051 128354043 128746503 147820059 148272039 170238267 292102281 335376693 336402153 385062129 386239509 443460177 510714801 876306843 1006130079 1009206459 1155186387 1158718527 1330380531 1532144403 2628920529 3018390237 3465559161 3476155581 3991141593 4596433209 7886761587 9055170711 10396677483 10428466743 11973424779 23660284761 27165512133 31190032449 31285400229 35920274337 70980854283 81496536399 93570097347 107760823011 212942562849 244489609197 280710292041 323282469033 733468827591 842130876123 969847407099 2200406482773 2526392628369 6601219448319 7579177885107 22737533655321 68212600965963 204637802897889