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5526753280 = 2125421641
BaseRepresentation
bin1010010010110101…
…11001000000000000
3112021011120011012221
411021122321000000
542304322101110
62312225300424
7253646425216
oct51132710000
915234504187
105526753280
1123867875a4
1210a2a94714
136a101cc19
143a601ccb6
152253067da
hex1496b9000

5526753280 has 104 divisors (see below), whose sum is σ = 13314830904. Its totient is φ = 2202009600.

The previous prime is 5526753259. The next prime is 5526753299. The reversal of 5526753280 is 823576255.

It can be written as a sum of positive squares in 4 ways, for example, as 212926464 + 5313826816 = 14592^2 + 72896^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8621760 + ... + 8622400.

Almost surely, 25526753280 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 5526753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657415452).

5526753280 is an abundant number, since it is smaller than the sum of its proper divisors (7788077624).

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

5526753280 is an equidigital number, since it uses as much as digits as its factorization.

5526753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The square root of 5526753280 is about 74342.1366386520. The cubic root of 5526753280 is about 1768.0316122191.

The spelling of 5526753280 in words is "five billion, five hundred twenty-six million, seven hundred fifty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 421 512 640 641 842 1024 1280 1282 1684 2048 2105 2560 2564 3205 3368 4096 4210 5120 5128 6410 6736 8420 10240 10256 12820 13472 16840 20480 20512 25640 26944 33680 41024 51280 53888 67360 82048 102560 107776 134720 164096 205120 215552 269440 269861 328192 410240 431104 538880 539722 656384 820480 862208 1077760 1079444 1312768 1349305 1640960 1724416 2155520 2158888 2625536 2698610 3281920 4311040 4317776 5397220 6563840 8622080 8635552 10794440 13127680 17271104 21588880 34542208 43177760 69084416 86355520 138168832 172711040 276337664 345422080 552675328 690844160 1105350656 1381688320 2763376640 5526753280