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518455225472 = 2731220532
BaseRepresentation
bin1111000101101100101…
…01101110110010000000
31211120020000222022012212
413202312111232302000
531443244014203342
61034101450441252
752312542463412
oct7426625566200
91746200868185
10518455225472
1118a96a505558
1284591733228
1339b75787632
141b1442ac9b2
15d745e5d182
hex78b656ec80

518455225472 has 72 divisors (see below), whose sum is σ = 1067772964545. Its totient is φ = 250743237120.

The previous prime is 518455225469. The next prime is 518455225493. The reversal of 518455225472 is 274522554815.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 518319363136 + 135862336 = 719944^2 + 11656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=509144.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 518455225472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 252534398 + ... + 252536450.

Almost surely, 2518455225472 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 518455225472

518455225472 is an abundant number, since it is smaller than the sum of its proper divisors (549317739073).

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

518455225472 is an frugal number, since it uses more digits than its factorization.

518455225472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 2086 counting only the distinct ones).

The product of its digits is 4480000, while the sum is 50.

Multiplying 518455225472 by its sum of digits (50), we get a square (25922761273600 = 50914402).

The spelling of 518455225472 in words is "five hundred eighteen billion, four hundred fifty-five million, two hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 961 992 1922 1984 2053 3844 3968 4106 7688 8212 15376 16424 30752 32848 61504 63643 65696 123008 127286 131392 254572 262784 509144 1018288 1972933 2036576 3945866 4073152 4214809 7891732 8146304 8429618 15783464 16859236 31566928 33718472 63133856 67436944 126267712 130659079 134873888 252535424 261318158 269747776 522636316 539495552 1045272632 2090545264 4050431449 4181090528 8100862898 8362181056 16201725796 16724362112 32403451592 64806903184 129613806368 259227612736 518455225472