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5221656576 = 2113431477
BaseRepresentation
bin1001101110011110…
…00010100000000000
3111110220110122020000
410313033002200000
541143221002301
62222050120000
7243253230363
oct46717024000
914426418200
105221656576
11223a541964
121018880000
13652a59326
143776c00da
1520863c786
hex1373c2800

5221656576 has 120 divisors (see below), whose sum is σ = 15597191610. Its totient is φ = 1740496896.

The previous prime is 5221656571. The next prime is 5221656577. The reversal of 5221656576 is 6756561225.

5221656576 is a `hidden beast` number, since 5 + 2 + 2 + 16 + 565 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4124722176 + 1096934400 = 64224^2 + 33120^2 .

It is not an unprimeable number, because it can be changed into a prime (5221656571) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 150150 + ... + 181626.

Almost surely, 25221656576 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 5221656576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798595805).

5221656576 is an abundant number, since it is smaller than the sum of its proper divisors (10375535034).

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

5221656576 is an equidigital number, since it uses as much as digits as its factorization.

5221656576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31511 (or 31482 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 5221656576 is about 72261.0308257501. The cubic root of 5221656576 is about 1734.8799786309.

The spelling of 5221656576 in words is "five billion, two hundred twenty-one million, six hundred fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 5184 6144 6912 9216 10368 13824 18432 20736 27648 31477 41472 55296 62954 82944 94431 125908 165888 188862 251816 283293 377724 503632 566586 755448 849879 1007264 1133172 1510896 1699758 2014528 2266344 2549637 3021792 3399516 4029056 4532688 5099274 6043584 6799032 8058112 9065376 10198548 12087168 13598064 16116224 18130752 20397096 24174336 27196128 32232448 36261504 40794192 48348672 54392256 64464896 72523008 81588384 96697344 108784512 145046016 163176768 193394688 217569024 290092032 326353536 435138048 580184064 652707072 870276096 1305414144 1740552192 2610828288 5221656576