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12008414569 = 2910915724197
BaseRepresentation
bin10110010111100000…
…11101110101101001
31010222212221122222011
423023300131311221
5144043123231234
65303325555521
7603402561004
oct131360356551
933885848864
1012008414569
115102489668
1223b1715ba1
131194b1c868
1481cbac53b
154a4383b64
hex2cbc1dd69

12008414569 has 16 divisors (see below), whose sum is σ = 12616837200. Its totient is φ = 11414317824.

The previous prime is 12008414567. The next prime is 12008414581. The reversal of 12008414569 is 96541480021.

It can be written as a sum of positive squares in 8 ways, for example, as 211848025 + 11796566544 = 14555^2 + 108612^2 .

It is a cyclic number.

It is not a de Polignac number, because 12008414569 - 21 = 12008414567 is a prime.

It is a super-2 number, since 2×120084145692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12008414567) 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 15 ways as a sum of consecutive naturals, for example, 484179 + ... + 508375.

It is an arithmetic number, because the mean of its divisors is an integer number (788552325).

Almost surely, 212008414569 is an apocalyptic number.

It is an amenable number.

12008414569 is a deficient number, since it is larger than the sum of its proper divisors (608422631).

12008414569 is a wasteful number, since it uses less digits than its factorization.

12008414569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24492.

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 12008414569 in words is "twelve billion, eight million, four hundred fourteen thousand, five hundred sixty-nine".

Divisors: 1 29 109 157 3161 4553 17113 24197 496277 701713 2637473 3798929 76486717 110168941 414083261 12008414569