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1007012066 = 229136112757
BaseRepresentation
bin111100000001011…
…100100011100010
32121011212111212012
4330001130203202
54030243341231
6243531432522
733645314144
oct7401344342
92534774765
101007012066
11477483085
122412b5742
13130823a38
1497a54c94
155d618e2b
hex3c05c8e2

1007012066 has 16 divisors (see below), whose sum is σ = 1563875640. Its totient is φ = 485748480.

The previous prime is 1007012063. The next prime is 1007012081. The reversal of 1007012066 is 6602107001.

It can be written as a sum of positive squares in 4 ways, for example, as 757845841 + 249166225 = 27529^2 + 15785^2 .

It is not an unprimeable number, because it can be changed into a prime (1007012063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72560 + ... + 85316.

Almost surely, 21007012066 is an apocalyptic number.

1007012066 is a deficient number, since it is larger than the sum of its proper divisors (556863574).

1007012066 is a wasteful number, since it uses less digits than its factorization.

1007012066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14149.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1007012066 is about 31733.4534206411. The cubic root of 1007012066 is about 1002.3319132869.

Adding to 1007012066 its reverse (6602107001), we get a palindrome (7609119067).

The spelling of 1007012066 in words is "one billion, seven million, twelve thousand, sixty-six".

Divisors: 1 2 29 58 1361 2722 12757 25514 39469 78938 369953 739906 17362277 34724554 503506033 1007012066