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6096664224 = 2532716318553
BaseRepresentation
bin1011010110110001…
…11011011010100000
3120201212221122001200
411223120323122200
544441221223344
62444544401200
7304036535160
oct55330733240
916655848050
106096664224
112649454082
121221916200
13762112131
1441b9b25a0
1525a37e069
hex16b63b6a0

6096664224 has 144 divisors (see below), whose sum is σ = 19936792512. Its totient is φ = 1731124224.

The previous prime is 6096664201. The next prime is 6096664241. The reversal of 6096664224 is 4224666906.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 6096664224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319332 + ... + 337884.

It is an arithmetic number, because the mean of its divisors is an integer number (138449948).

Almost surely, 26096664224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6096664224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968396256).

6096664224 is an abundant number, since it is smaller than the sum of its proper divisors (13840128288).

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

6096664224 is a wasteful number, since it uses less digits than its factorization.

6096664224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18739 (or 18728 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 6096664224 is about 78081.1387212046. The cubic root of 6096664224 is about 1826.8270161923.

The spelling of 6096664224 in words is "six billion, ninety-six million, six hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 163 168 224 252 288 326 336 489 504 652 672 978 1008 1141 1304 1467 1956 2016 2282 2608 2934 3423 3912 4564 5216 5868 6846 7824 9128 10269 11736 13692 15648 18256 18553 20538 23472 27384 36512 37106 41076 46944 54768 55659 74212 82152 109536 111318 129871 148424 164304 166977 222636 259742 296848 328608 333954 389613 445272 519484 593696 667908 779226 890544 1038968 1168839 1335816 1558452 1781088 2077936 2337678 2671632 3024139 3116904 4155872 4675356 5343264 6048278 6233808 9072417 9350712 12096556 12467616 18144834 18701424 21168973 24193112 27217251 36289668 37402848 42337946 48386224 54434502 63506919 72579336 84675892 96772448 108869004 127013838 145158672 169351784 190520757 217738008 254027676 290317344 338703568 381041514 435476016 508055352 677407136 762083028 870952032 1016110704 1524166056 2032221408 3048332112 6096664224