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32669478009 = 34721921512
BaseRepresentation
bin11110011011010000…
…001010110001111001
310010022210101102210000
4132123100022301321
51013401341244014
623001432143213
72234402660400
oct363320126171
9103283342700
1032669478009
1112945083403
1263b8b37b09
13310845309c
14181cbb4637
15cb3180509
hex79b40ac79

32669478009 has 135 divisors (see below), whose sum is σ = 60314906421. Its totient is φ = 17568608400.

The previous prime is 32669477989. The next prime is 32669478041. The reversal of 32669478009 is 90087496623.

It is a happy number.

The square root of 32669478009 is 180747.

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

It is not a de Polignac number, because 32669478009 - 219 = 32668953721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32669478059) 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, 216354084 + ... + 216354234.

Almost surely, 232669478009 is an apocalyptic number.

32669478009 is the 180747-th square number.

32669478009 is the 90374-th centered octagonal number.

It is an amenable number.

32669478009 is a deficient number, since it is larger than the sum of its proper divisors (27645428412).

32669478009 is an equidigital number, since it uses as much as digits as its factorization.

32669478009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 32669478009 in words is "thirty-two billion, six hundred sixty-nine million, four hundred seventy-eight thousand, nine".

Divisors: 1 3 7 9 19 21 27 49 57 63 81 133 147 151 171 189 361 399 441 453 513 567 931 1057 1083 1197 1323 1359 1539 2527 2793 2869 3171 3249 3591 3969 4077 7399 7581 8379 8607 9513 9747 10773 12231 17689 20083 22197 22743 22801 25137 25821 28539 29241 53067 54511 60249 66591 68229 68403 75411 77463 85617 140581 159201 159607 163533 180747 199773 204687 205209 232389 381577 421743 433219 477603 478821 490599 542241 599319 615627 1117249 1144731 1265229 1299657 1432809 1436463 1471797 1626723 1846881 2671039 3032533 3351747 3434193 3795687 3898971 4309389 4415391 8013117 8231161 9097599 10055241 10302579 11387061 11696913 12928167 21227731 24039351 24693483 27292797 30165723 30907737 35090739 57618127 63683193 72118053 74080449 81878391 90497169 172854381 191049579 216354159 222241347 245635173 403326889 518563143 573148737 666724041 1209980667 1555689429 1719446211 3629942001 4667068287 10889826003 32669478009