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6402720289 = 74232712
BaseRepresentation
bin1011111011010000…
…11100001000100001
3121112012211220001111
411331220130020201
5101103044022124
62535200303321
7314444140000
oct57550341041
917465756044
106402720289
112796194579
1212a8311b41
137b06505b4
1444a4c0c37
15277187494
hex17da1c221

6402720289 has 45 divisors (see below), whose sum is σ = 7919796689. Its totient is φ = 5175499560.

The previous prime is 6402720287. The next prime is 6402720293. The reversal of 6402720289 is 9820272046.

The square root of 6402720289 is 80017.

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

It is not a de Polignac number, because 6402720289 - 21 = 6402720287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6402720287) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90179124 + ... + 90179194.

Almost surely, 26402720289 is an apocalyptic number.

6402720289 is the 80017-th square number.

6402720289 is the 40009-th centered octagonal number.

It is an amenable number.

6402720289 is a deficient number, since it is larger than the sum of its proper divisors (1517076400).

6402720289 is an frugal number, since it uses more digits than its factorization.

6402720289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The cubic root of 6402720289 is about 1856.8985474978.

The spelling of 6402720289 in words is "six billion, four hundred two million, seven hundred twenty thousand, two hundred eighty-nine".

Divisors: 1 7 23 49 71 161 343 497 529 1127 1633 2401 3479 3703 5041 7889 11431 24353 25921 35287 37559 55223 80017 115943 170471 181447 247009 262913 560119 811601 1270129 1729063 1840391 2666689 3920833 5681207 12103441 12882737 18666823 39768449 90179159 130667761 278379143 914674327 6402720289