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6688610640 = 243451032193
BaseRepresentation
bin1100011101010110…
…00001100101010000
3122021010210121220000
412032223001211100
5102144241020030
63023412050000
7324515152365
oct61653014520
918233717800
106688610640
112922601198
121368003900
1382794b09a
1447646046c
1529230a860
hex18eac1950

6688610640 has 100 divisors (see below), whose sum is σ = 23230558164. Its totient is φ = 1783627776.

The previous prime is 6688610629. The next prime is 6688610659. The reversal of 6688610640 is 460168866.

It can be written as a sum of positive squares in 2 ways, for example, as 4624544016 + 2064066624 = 68004^2 + 45432^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 509617 + ... + 522576.

Almost surely, 26688610640 is an apocalyptic number.

6688610640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6688610640 is an abundant number, since it is smaller than the sum of its proper divisors (16541947524).

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

6688610640 is a wasteful number, since it uses less digits than its factorization.

6688610640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032218 (or 1032203 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6688610640 is about 81783.9265381652. The cubic root of 6688610640 is about 1884.1348031257.

The spelling of 6688610640 in words is "six billion, six hundred eighty-eight million, six hundred ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 1032193 2064386 3096579 4128772 5160965 6193158 8257544 9289737 10321930 12386316 15482895 16515088 18579474 20643860 24772632 27869211 30965790 37158948 41287720 46448685 49545264 55738422 61931580 74317896 82575440 83607633 92897370 111476844 123863160 139346055 148635792 167215266 185794740 222953688 247726320 278692110 334430532 371589480 418038165 445907376 557384220 668861064 743178960 836076330 1114768440 1337722128 1672152660 2229536880 3344305320 6688610640