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12416530041 = 3337101123059
BaseRepresentation
bin10111001000001010…
…10011011001111001
31012001022220002011000
423210011103121321
5200412112430131
65412025155213
7616456523016
oct134405233171
935038802130
1012416530041
1152a1897883
1224a632bb09
13122b542cc6
1485b08670d
154ca0ebce6
hex2e4153679

12416530041 has 32 divisors (see below), whose sum is σ = 19079222400. Its totient is φ = 7974158400.

The previous prime is 12416530033. The next prime is 12416530051. The reversal of 12416530041 is 14003561421.

It is a happy number.

12416530041 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 653 + 0 + 0 + 4 + 1 = 666.

12416530041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12416530041 - 23 = 12416530033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12416529987 and 12416530014.

It is not an unprimeable number, because it can be changed into a prime (12416530051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39370 + ... + 162428.

It is an arithmetic number, because the mean of its divisors is an integer number (596225700).

Almost surely, 212416530041 is an apocalyptic number.

It is an amenable number.

12416530041 is a deficient number, since it is larger than the sum of its proper divisors (6662692359).

12416530041 is a wasteful number, since it uses less digits than its factorization.

12416530041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123206 (or 123200 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12416530041 in words is "twelve billion, four hundred sixteen million, five hundred thirty thousand, forty-one".

Divisors: 1 3 9 27 37 101 111 303 333 909 999 2727 3737 11211 33633 100899 123059 369177 1107531 3322593 4553183 12428959 13659549 37286877 40978647 111860631 122935941 335581893 459871483 1379614449 4138843347 12416530041