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12340075969 = 132292517869
BaseRepresentation
bin10110111111000011…
…01001110111000001
31011212000000210212201
423133201221313001
5200233024412334
65400254353201
7614540625604
oct133741516701
934760023781
1012340075969
1152627187a1
1224847bb801
131218754900
14850c6433b
154c3548c14
hex2df869dc1

12340075969 has 12 divisors (see below), whose sum is σ = 13823106300. Its totient is φ = 10998047424.

The previous prime is 12340075949. The next prime is 12340075981. The reversal of 12340075969 is 96957004321.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 281400625 + 12058675344 = 16775^2 + 109812^2 .

It is not a de Polignac number, because 12340075969 - 27 = 12340075841 is a prime.

It is a super-2 number, since 2×123400759692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12340075919) 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 11 ways as a sum of consecutive naturals, for example, 1254034 + ... + 1263835.

It is an arithmetic number, because the mean of its divisors is an integer number (1151925525).

Almost surely, 212340075969 is an apocalyptic number.

It is an amenable number.

12340075969 is a deficient number, since it is larger than the sum of its proper divisors (1483030331).

12340075969 is a wasteful number, since it uses less digits than its factorization.

12340075969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517924 (or 2517911 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 12340075969 in words is "twelve billion, three hundred forty million, seventy-five thousand, nine hundred sixty-nine".

Divisors: 1 13 29 169 377 4901 2517869 32732297 73018201 425519861 949236613 12340075969