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1006521064 = 23373400409
BaseRepresentation
bin111011111111100…
…100101011101000
32121010221120022221
4323333210223220
54030132133224
6243513123424
733641200513
oct7377445350
92533846287
101006521064
1147717819a
122410b9574
131306b13c3
1497967d7a
155d56d6e4
hex3bfe4ae8

1006521064 has 16 divisors (see below), whose sum is σ = 1938233700. Its totient is φ = 489658752.

The previous prime is 1006521059. The next prime is 1006521071. The reversal of 1006521064 is 4601256001.

It can be written as a sum of positive squares in 2 ways, for example, as 977812900 + 28708164 = 31270^2 + 5358^2 .

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 3 ways as a sum of consecutive naturals, for example, 1699909 + ... + 1700500.

Almost surely, 21006521064 is an apocalyptic number.

It is an amenable number.

1006521064 is a deficient number, since it is larger than the sum of its proper divisors (931712636).

1006521064 is a wasteful number, since it uses less digits than its factorization.

1006521064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400452 (or 3400448 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1006521064 is about 31725.7161306093. The cubic root of 1006521064 is about 1002.1689801239.

Adding to 1006521064 its reverse (4601256001), we get a palindrome (5607777065).

The spelling of 1006521064 in words is "one billion, six million, five hundred twenty-one thousand, sixty-four".

Divisors: 1 2 4 8 37 74 148 296 3400409 6800818 13601636 27203272 125815133 251630266 503260532 1006521064