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6681067560 = 2332529639949
BaseRepresentation
bin1100011100011100…
…10000000000101000
3122020121121101201200
412032032100000220
5102140323130220
63022542244200
7324364065036
oct61616200050
918217541650
106681067560
112919319a42
121365586660
1382620991b
14475459556
1529181a890
hex18e390028

6681067560 has 96 divisors (see below), whose sum is σ = 22462245000. Its totient is φ = 1720180224.

The previous prime is 6681067543. The next prime is 6681067567. The reversal of 6681067560 is 657601866.

6681067560 is a `hidden beast` number, since 6 + 6 + 81 + 0 + 6 + 7 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3757935204 + 2923132356 = 61302^2 + 54066^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6681067567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309535 + ... + 330414.

Almost surely, 26681067560 is an apocalyptic number.

6681067560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6681067560 is an abundant number, since it is smaller than the sum of its proper divisors (15781177440).

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

6681067560 is a wasteful number, since it uses less digits than its factorization.

6681067560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639995 (or 639988 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6681067560 is about 81737.7976214187. The cubic root of 6681067560 is about 1883.4262590917.

The spelling of 6681067560 in words is "six billion, six hundred eighty-one million, sixty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 639949 1279898 1919847 2559796 3199745 3839694 5119592 5759541 6399490 7679388 9599235 11519082 12798980 15358776 18558521 19198470 23038164 25597960 28797705 37117042 38396940 46076328 55675563 57595410 74234084 76793880 92792605 111351126 115190820 148468168 167026689 185585210 222702252 230381640 278377815 334053378 371170420 445404504 556755630 668106756 742340840 835133445 1113511260 1336213512 1670266890 2227022520 3340533780 6681067560