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6688459089 = 361322332
BaseRepresentation
bin1100011101010100…
…11100100101010001
3122021010111221000000
412032222130211101
5102144221142324
63023404520213
7324513651504
oct61652344521
918233457000
106688459089
112922508344
121367b50069
138278c7100
1447642113b
152922ca9c9
hex18ea9c951

6688459089 has 63 divisors (see below), whose sum is σ = 10905635937. Its totient is φ = 4098309696.

The previous prime is 6688459069. The next prime is 6688459111. The reversal of 6688459089 is 9809548866.

The square root of 6688459089 is 81783.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2832049089 + 3856410000 = 53217^2 + 62100^2 .

It is not a de Polignac number, because 6688459089 - 27 = 6688458961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6688459069) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 28705717 + ... + 28705949.

Almost surely, 26688459089 is an apocalyptic number.

6688459089 is the 81783-rd square number.

6688459089 is the 40892-nd centered octagonal number.

It is an amenable number.

6688459089 is a deficient number, since it is larger than the sum of its proper divisors (4217176848).

6688459089 is an frugal number, since it uses more digits than its factorization.

6688459089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The cubic root of 6688459089 is about 1884.1205727329.

The spelling of 6688459089 in words is "six billion, six hundred eighty-eight million, four hundred fifty-nine thousand, eighty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 233 243 351 507 699 729 1053 1521 2097 3029 3159 4563 6291 9087 9477 13689 18873 27261 39377 41067 54289 56619 81783 118131 123201 162867 169857 245349 354393 488601 705757 736047 1063179 1465803 2117271 2208141 3189537 4397409 6351813 9174841 9568611 13192227 19055439 27524523 28705833 39576681 57166317 82573569 171498951 247720707 514496853 743162121 2229486363 6688459089