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528808204864 = 2617253472
BaseRepresentation
bin1111011000111110110…
…11001101101001000000
31212112221112221011001001
413230133123031221000
532130444400023424
61042533043021344
753130234401662
oct7543733155100
91775845834031
10528808204864
111942a249a175
12865a096a854
133ab35632144
141b847276532
15db4ece2844
hex7b1f6cda40

528808204864 has 63 divisors (see below), whose sum is σ = 1114919969673. Its totient is φ = 248804379648.

The previous prime is 528808204861. The next prime is 528808204871. The reversal of 528808204864 is 468402808825.

The square root of 528808204864 is 727192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 411701889600 + 117106315264 = 641640^2 + 342208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (528808204861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98895439 + ... + 98900785.

Almost surely, 2528808204864 is an apocalyptic number.

528808204864 is the 727192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528808204864

528808204864 is an abundant number, since it is smaller than the sum of its proper divisors (586111764809).

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

528808204864 is an frugal number, since it uses more digits than its factorization.

528808204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 55.

The spelling of 528808204864 in words is "five hundred twenty-eight billion, eight hundred eight million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 5347 9248 10694 18496 21388 42776 85552 90899 171104 181798 342208 363596 727192 1454384 1545283 2908768 3090566 5817536 6181132 12362264 24724528 28590409 49449056 57180818 98898112 114361636 228723272 457446544 486036953 914893088 972073906 1829786176 1944147812 3888295624 7776591248 8262628201 15553182496 16525256402 31106364992 33050512804 66101025608 132202051216 264404102432 528808204864