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528982745344 = 2813123472
BaseRepresentation
bin1111011001010011101…
…01000010000100000000
31212120101201100201120021
413230221311002010000
532131324040322334
61043002240023224
753134454101234
oct7545165020400
91776351321507
10528982745344
11194381a72aa9
128662b301b14
133ab62844031
141b86250c5c4
15db602bd3b4
hex7b29d42100

528982745344 has 81 divisors (see below), whose sum is σ = 1067096159311. Its totient is φ = 261715950080.

The previous prime is 528982745303. The next prime is 528982745381. The reversal of 528982745344 is 443547289825.

The square root of 528982745344 is 727312.

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

It is a Duffinian number.

Its product of digits (77414400) is a multiple of the sum of its prime divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1524445779 + ... + 1524446125.

Almost surely, 2528982745344 is an apocalyptic number.

528982745344 is the 727312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528982745344

528982745344 is an abundant number, since it is smaller than the sum of its proper divisors (538113413967).

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

528982745344 is an frugal number, since it uses more digits than its factorization.

528982745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 480 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 61.

The spelling of 528982745344 in words is "five hundred twenty-eight billion, nine hundred eighty-two million, seven hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 347 524 694 1048 1388 2096 2776 4192 5552 8384 11104 16768 17161 22208 33536 34322 44416 45457 68644 88832 90914 120409 137288 181828 240818 274576 363656 481636 549152 727312 963272 1098304 1454624 1926544 2196608 2909248 3853088 4393216 5818496 5954867 7706176 11636992 11909734 15412352 15773579 23819468 30824704 31547158 47638936 63094316 95277872 126188632 190555744 252377264 381111488 504754528 762222976 1009509056 1524445952 2019018112 2066338849 4038036224 4132677698 8265355396 16530710792 33061421584 66122843168 132245686336 264491372672 528982745344