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12235780144448 = 26727312009251
BaseRepresentation
bin1011001000001101110101…
…0101000011110101000000
31121022201200120000110012222
42302003131111003311000
53100432334204110243
642005012332510212
72402002016121320
oct262033525036500
947281616013188
1012235780144448
11399818a9a6113
12145746201b368
136a9aa1752b63
14304301a47280
15163432679168
hexb20dd543d40

12235780144448 has 28 divisors (see below), whose sum is σ = 27749001400032. Its totient is φ = 5243905776000.

The previous prime is 12235780144439. The next prime is 12235780144481. The reversal of 12235780144448 is 84444108753221.

It is a tau number, because it is divible by the number of its divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12235780144448.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 13656004178 + ... + 13656005073.

Almost surely, 212235780144448 is an apocalyptic number.

It is an amenable number.

12235780144448 is an abundant number, since it is smaller than the sum of its proper divisors (15513221255584).

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

12235780144448 is an equidigital number, since it uses as much as digits as its factorization.

12235780144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27312009270 (or 27312009260 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 53.

Adding to 12235780144448 its reverse (84444108753221), we get a palindrome (96679888897669).

The spelling of 12235780144448 in words is "twelve trillion, two hundred thirty-five billion, seven hundred eighty million, one hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 27312009251 54624018502 109248037004 191184064757 218496074008 382368129514 436992148016 764736259028 873984296032 1529472518056 1747968592064 3058945036112 6117890072224 12235780144448