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6559942816 = 257212133449
BaseRepresentation
bin1100001110000000…
…01100100010100000
3121221011200121211001
412013000030202200
5101413321132231
63002534201344
7321363410500
oct60700144240
917834617731
106559942816
112866a0a149
121330ab3254
138070aaa8b
14463329a00
15285d91b61
hex18700c8a0

6559942816 has 72 divisors (see below), whose sum is σ = 15040185300. Its totient is φ = 2808271872.

The previous prime is 6559942799. The next prime is 6559942817. The reversal of 6559942816 is 6182499556.

It can be written as a sum of positive squares in 2 ways, for example, as 4172643216 + 2387299600 = 64596^2 + 48860^2 .

It is not an unprimeable number, because it can be changed into a prime (6559942817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1900260 + ... + 1903708.

Almost surely, 26559942816 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 6559942816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520092650).

6559942816 is an abundant number, since it is smaller than the sum of its proper divisors (8480242484).

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

6559942816 is a wasteful number, since it uses less digits than its factorization.

6559942816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4671 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 55.

The square root of 6559942816 is about 80993.4739099392. The cubic root of 6559942816 is about 1871.9748852159.

The spelling of 6559942816 in words is "six billion, five hundred fifty-nine million, nine hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1213 1568 2426 3449 4852 6898 8491 9704 13796 16982 19408 24143 27592 33964 38816 48286 55184 59437 67928 96572 110368 118874 135856 169001 193144 237748 271712 338002 386288 475496 676004 772576 950992 1352008 1901984 2704016 4183637 5408032 8367274 16734548 29285459 33469096 58570918 66938192 117141836 133876384 204998213 234283672 409996426 468567344 819992852 937134688 1639985704 3279971408 6559942816