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424529522568 = 233231224772
BaseRepresentation
bin1100010110101111110…
…11100110111110001000
31111120210012012020002200
412023113323212332020
523423414024210233
6523005353000200
742446144255034
oct6132773467610
91446705166080
10424529522568
111540509367a8
126a33a0b3060
1331057558338
1416793c7b1c4
15b09a135313
hex62d7ee6f88

424529522568 has 108 divisors (see below), whose sum is σ = 1188532985445. Its totient is φ = 136889720640.

The previous prime is 424529522561. The next prime is 424529522581. The reversal of 424529522568 is 865225925424.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

424529522568 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 29 + 52 + 2 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424527827364 + 1695204 = 651558^2 + 1302^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=460722.

It is not an unprimeable number, because it can be changed into a prime (424529522561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171387346 + ... + 171389822.

Almost surely, 2424529522568 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 424529522568

424529522568 is an abundant number, since it is smaller than the sum of its proper divisors (764003462877).

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

424529522568 is an equidigital number, since it uses as much as digits as its factorization.

424529522568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 2513 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 424529522568 in words is "four hundred twenty-four billion, five hundred twenty-nine million, five hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2477 2883 3844 4954 5766 7431 7688 8649 9908 11532 14862 17298 19816 22293 23064 29724 34596 44586 59448 69192 76787 89172 153574 178344 230361 307148 460722 614296 691083 921444 1382166 1842888 2380397 2764332 4760794 5528664 6135529 7141191 9521588 12271058 14282382 18406587 19043176 21423573 24542116 28564764 36813174 42847146 49084232 55219761 57129528 73626348 85694292 110439522 147252696 171388584 190201399 220879044 380402798 441758088 570604197 760805596 1141208394 1521611192 1711812591 2282416788 3423625182 4564833576 5896243369 6847250364 11792486738 13694500728 17688730107 23584973476 35377460214 47169946952 53066190321 70754920428 106132380642 141509840856 212264761284 424529522568