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6689423360 = 215540829
BaseRepresentation
bin1100011101011100…
…01000000000000000
3122021012022220201202
412032232020000000
5102144443021420
63023441320332
7324525106004
oct61656100000
918235286652
106689423360
112923006864
1213683360a8
13827b73c99
144765d2704
1529241b575
hex18eb88000

6689423360 has 64 divisors (see below), whose sum is σ = 16054764300. Its totient is φ = 2675703808.

The previous prime is 6689423353. The next prime is 6689423393. The reversal of 6689423360 is 633249866.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6116491264 + 572932096 = 78208^2 + 23936^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143426 + ... + 184254.

Almost surely, 26689423360 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 6689423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027382150).

6689423360 is an abundant number, since it is smaller than the sum of its proper divisors (9365340940).

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

6689423360 is an frugal number, since it uses more digits than its factorization.

6689423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40864 (or 40836 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The square root of 6689423360 is about 81788.8950897370. The cubic root of 6689423360 is about 1884.2111125470.

The spelling of 6689423360 in words is "six billion, six hundred eighty-nine million, four hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 32768 40829 40960 81658 81920 163316 163840 204145 326632 408290 653264 816580 1306528 1633160 2613056 3266320 5226112 6532640 10452224 13065280 20904448 26130560 41808896 52261120 83617792 104522240 167235584 209044480 334471168 418088960 668942336 836177920 1337884672 1672355840 3344711680 6689423360