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12435249641 = 171136473321
BaseRepresentation
bin10111001010011001…
…01101100111101001
31012002122010010121112
423211030231213221
5200431410442031
65413534320105
7620104610063
oct134514554751
935078103545
1012435249641
115301413121
1224b0659035
1312323986a9
1485d75a733
154cba9862b
hex2e532d9e9

12435249641 has 8 divisors (see below), whose sum is σ = 13283256744. Its totient is φ = 11600189440.

The previous prime is 12435249623. The next prime is 12435249653. The reversal of 12435249641 is 14694253421.

It can be written as a sum of positive squares in 4 ways, for example, as 3138240400 + 9297009241 = 56020^2 + 96421^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12435249641 - 218 = 12434987497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12435249601) 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 7 ways as a sum of consecutive naturals, for example, 3234740 + ... + 3238581.

It is an arithmetic number, because the mean of its divisors is an integer number (1660407093).

Almost surely, 212435249641 is an apocalyptic number.

It is an amenable number.

12435249641 is a deficient number, since it is larger than the sum of its proper divisors (848007103).

12435249641 is a wasteful number, since it uses less digits than its factorization.

12435249641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473451.

The product of its digits is 207360, while the sum is 41.

The spelling of 12435249641 in words is "twelve billion, four hundred thirty-five million, two hundred forty-nine thousand, six hundred forty-one".

Divisors: 1 17 113 1921 6473321 110046457 731485273 12435249641