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12886124144 = 243140963521
BaseRepresentation
bin11000000000001001…
…01010011001110000
31020021001111221011012
430000010222121300
5202342321433034
65530402210052
7634221151025
oct140004523160
936231457135
1012886124144
115512976883
1225b7653928
1312a491043a
148a35a554c
1550645acce
hex30012a670

12886124144 has 40 divisors (see below), whose sum is σ = 25835667840. Its totient is φ = 6219878400.

The previous prime is 12886124099. The next prime is 12886124171. The reversal of 12886124144 is 44142168821.

It is a super-3 number, since 3×128861241443 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171104 + ... + 234624.

It is an arithmetic number, because the mean of its divisors is an integer number (645891696).

Almost surely, 212886124144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12886124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12917833920).

12886124144 is an abundant number, since it is smaller than the sum of its proper divisors (12949543696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12886124144 is a wasteful number, since it uses less digits than its factorization.

12886124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63969 (or 63963 counting only the distinct ones).

The product of its digits is 98304, while the sum is 41.

The spelling of 12886124144 in words is "twelve billion, eight hundred eighty-six million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 409 496 818 1636 3272 6544 12679 25358 50716 63521 101432 127042 202864 254084 508168 1016336 1969151 3938302 7876604 15753208 25980089 31506416 51960178 103920356 207840712 415681424 805382759 1610765518 3221531036 6443062072 12886124144