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5559064080 = 2435194328351
BaseRepresentation
bin1010010110101100…
…01001011000010000
3112100102100201022020
411023112021120100
542341110022310
62315342011440
7254521156623
oct51326113020
915312321266
105559064080
1123a2a46139
1210b1876b80
136a792393b
143aa42ddba
1522808a170
hex14b589610

5559064080 has 160 divisors (see below), whose sum is σ = 18562621440. Its totient is φ = 1371686400.

The previous prime is 5559064079. The next prime is 5559064111. The reversal of 5559064080 is 804609555.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181905 + ... + 210255.

It is an arithmetic number, because the mean of its divisors is an integer number (116016384).

Almost surely, 25559064080 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 5559064080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9281310720).

5559064080 is an abundant number, since it is smaller than the sum of its proper divisors (13003557360).

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

5559064080 is a wasteful number, since it uses less digits than its factorization.

5559064080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28429 (or 28423 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 5559064080 is about 74559.1314327092. The cubic root of 5559064080 is about 1771.4703732022.

The spelling of 5559064080 in words is "five billion, five hundred fifty-nine million, sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 43 48 57 60 76 80 86 95 114 120 129 152 172 190 215 228 240 258 285 304 344 380 430 456 516 570 645 688 760 817 860 912 1032 1140 1290 1520 1634 1720 2064 2280 2451 2580 3268 3440 4085 4560 4902 5160 6536 8170 9804 10320 12255 13072 16340 19608 24510 28351 32680 39216 49020 56702 65360 85053 98040 113404 141755 170106 196080 226808 283510 340212 425265 453616 538669 567020 680424 850530 1077338 1134040 1219093 1360848 1616007 1701060 2154676 2268080 2438186 2693345 3232014 3402120 3657279 4309352 4876372 5386690 6095465 6464028 6804240 7314558 8080035 8618704 9752744 10773380 12190930 12928056 14629116 16160070 18286395 19505488 21546760 23162767 24381860 25856112 29258232 32320140 36572790 43093520 46325534 48763720 58516464 64640280 69488301 73145580 92651068 97527440 115813835 129280560 138976602 146291160 185302136 231627670 277953204 292582320 347441505 370604272 463255340 555906408 694883010 926510680 1111812816 1389766020 1853021360 2779532040 5559064080