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12172645641 = 313224009163
BaseRepresentation
bin10110101011000101…
…11101010100001001
31011102022222110122110
423111202331110021
5144412144130031
65331514012533
7610435531542
oct132542752411
934368873573
1012172645641
115187160922
122438717149
1311bcb62100
1483691d4c9
154b39c4c46
hex2d58bd509

12172645641 has 12 divisors (see below), whose sum is σ = 17574708048. Its totient is φ = 7490858544.

The previous prime is 12172645631. The next prime is 12172645657. The reversal of 12172645641 is 14654627121.

12172645641 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 12172645641 - 217 = 12172514569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12172645641.

It is not an unprimeable number, because it can be changed into a prime (12172645631) 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 11 ways as a sum of consecutive naturals, for example, 12004075 + ... + 12005088.

It is an arithmetic number, because the mean of its divisors is an integer number (1464559004).

Almost surely, 212172645641 is an apocalyptic number.

It is an amenable number.

12172645641 is a deficient number, since it is larger than the sum of its proper divisors (5402062407).

12172645641 is a wasteful number, since it uses less digits than its factorization.

12172645641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24009192 (or 24009179 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The spelling of 12172645641 in words is "twelve billion, one hundred seventy-two million, six hundred forty-five thousand, six hundred forty-one".

Divisors: 1 3 13 39 169 507 24009163 72027489 312119119 936357357 4057548547 12172645641