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1006536602450 = 252531732195521
BaseRepresentation
bin11101010010110100100…
…00011011001101010010
310120020001021012020100002
432221122100123031102
5112442341332234300
62050221352330002
7132501625646021
oct16513220331522
93506037166302
101006536602450
11358962743085
121430a70a3902
1373bba593942
1436a066188b8
151b2b05475d5
hexea5a41b352

1006536602450 has 48 divisors (see below), whose sum is σ = 1918508598216. Its totient is φ = 392734617600.

The previous prime is 1006536602431. The next prime is 1006536602453. The reversal of 1006536602450 is 542066356001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 229214010169 + 777322592281 = 478763^2 + 881659^2 .

It is not an unprimeable number, because it can be changed into a prime (1006536602453) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 639311 + ... + 1556210.

Almost surely, 21006536602450 is an apocalyptic number.

1006536602450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006536602450 is a deficient number, since it is larger than the sum of its proper divisors (911971995766).

1006536602450 is a wasteful number, since it uses less digits than its factorization.

1006536602450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195759 (or 2195754 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 1006536602450 in words is "one trillion, six billion, five hundred thirty-six million, six hundred two thousand, four hundred fifty".

Divisors: 1 2 5 10 25 50 53 106 173 265 346 530 865 1325 1730 2650 4325 8650 9169 18338 45845 91690 229225 458450 2195521 4391042 10977605 21955210 54888025 109776050 116362613 232725226 379825133 581813065 759650266 1163626130 1899125665 2909065325 3798251330 5818130650 9495628325 18991256650 20130732049 40261464098 100653660245 201307320490 503268301225 1006536602450