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12434901741 = 322335929853
BaseRepresentation
bin10111001010010110…
…11000101011101101
31012002121110110101100
423211023120223231
5200431313323431
65413523033313
7620101630563
oct134513305355
935077413340
1012434901741
1153011a57a9
1224b050b839
1312322a6232
1485d6a9a33
154cba2a4e6
hex2e52d8aed

12434901741 has 12 divisors (see below), whose sum is σ = 18038615868. Its totient is φ = 8254353984.

The previous prime is 12434901737. The next prime is 12434901751. The reversal of 12434901741 is 14710943421.

12434901741 is a `hidden beast` number, since 124 + 3 + 490 + 1 + 7 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5674608900 + 6760292841 = 75330^2 + 82221^2 .

It is not a de Polignac number, because 12434901741 - 22 = 12434901737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12434901696 and 12434901705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434901751) 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, 2962830 + ... + 2967023.

It is an arithmetic number, because the mean of its divisors is an integer number (1503217989).

Almost surely, 212434901741 is an apocalyptic number.

It is an amenable number.

12434901741 is a deficient number, since it is larger than the sum of its proper divisors (5603714127).

12434901741 is a wasteful number, since it uses less digits than its factorization.

12434901741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930092 (or 5930089 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12434901741 in words is "twelve billion, four hundred thirty-four million, nine hundred one thousand, seven hundred forty-one".

Divisors: 1 3 9 233 699 2097 5929853 17789559 53368677 1381655749 4144967247 12434901741