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217008238293 = 34721121123557
BaseRepresentation
bin1100101000011010110…
…0101110111011010101
3202202010200021201020000
43022012230232323111
512023413102111133
6243405303401513
721451444406400
oct3120654567325
9682120251200
10217008238293
118403a547390
1236083753299
1317604c382c2
14a708d06d37
1559a1727413
hex3286b2eed5

217008238293 has 120 divisors (see below), whose sum is σ = 413347914144. Its totient is φ = 112192516800.

The previous prime is 217008238267. The next prime is 217008238309. The reversal of 217008238293 is 392832800712.

It is not a de Polignac number, because 217008238293 - 25 = 217008238261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217008238253) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9200271 + ... + 9223827.

Almost surely, 2217008238293 is an apocalyptic number.

It is an amenable number.

217008238293 is a deficient number, since it is larger than the sum of its proper divisors (196339675851).

217008238293 is a wasteful number, since it uses less digits than its factorization.

217008238293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23805 (or 23789 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 217008238293 in words is "two hundred seventeen billion, eight million, two hundred thirty-eight thousand, two hundred ninety-three".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 211 231 297 441 539 567 633 693 891 1323 1477 1617 1899 2079 2321 3969 4431 4851 5697 6237 6963 10339 13293 14553 16247 17091 20889 23557 31017 39879 43659 48741 62667 70671 93051 113729 119637 146223 164899 188001 212013 259127 279153 341187 438669 494697 636039 777381 837459 1023561 1154293 1316007 1484091 1813889 1908117 2332143 3070683 3462879 4452273 4970527 5441667 6996429 9212049 10388637 12697223 13356819 14911581 16325001 20989287 31165911 34793689 38091669 44734743 48975003 54675797 93497733 104381067 114275007 134204229 146925009 164027391 243555823 313143201 342825021 382730579 402612687 492082173 730667469 939429603 1028475063 1148191737 1476246519 2192002407 2679114053 2818288809 3444575211 4428739557 6576007221 8037342159 10333725633 19728021663 24112026477 31001176899 72336079431 217008238293