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12452241344 = 26436174177
BaseRepresentation
bin10111001100011011…
…00001111111000000
31012010211002101211212
423212031201333000
5201000233210334
65415342425252
7620402206424
oct134615417700
935124071755
1012452241344
11530aa69254
1224b6292228
131235a6775a
14861b00b84
154cd302ece
hex2e6361fc0

12452241344 has 56 divisors (see below), whose sum is σ = 25699413168. Its totient is φ = 5981552640.

The previous prime is 12452241211. The next prime is 12452241349. The reversal of 12452241344 is 44314225421.

12452241344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12452241344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12452241349) 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 7 ways as a sum of consecutive naturals, for example, 130784 + ... + 204960.

Almost surely, 212452241344 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 12452241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849706584).

12452241344 is an abundant number, since it is smaller than the sum of its proper divisors (13247171824).

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

12452241344 is an equidigital number, since it uses as much as digits as its factorization.

12452241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74293 (or 74283 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

Adding to 12452241344 its reverse (44314225421), we get a palindrome (56766466765).

The spelling of 12452241344 in words is "twelve billion, four hundred fifty-two million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 43 61 64 86 122 172 244 344 488 688 976 1376 1952 2623 2752 3904 5246 10492 20984 41968 74177 83936 148354 167872 296708 593416 1186832 2373664 3189611 4524797 4747328 6379222 9049594 12758444 18099188 25516888 36198376 51033776 72396752 102067552 144793504 194566271 204135104 289587008 389132542 778265084 1556530168 3113060336 6226120672 12452241344