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12533696444416 = 2117874281281
BaseRepresentation
bin1011011001100011101010…
…0001100011100000000000
31122101012122212002112212211
42312120322201203200000
53120323002242210131
642353522313031504
72432346452645530
oct266307241434000
948335585075784
1012533696444416
113aa2568987774
1214a51456b5594
136cbbcb97cb64
143148c41434c0
1516b06be405b1
hexb663a863800

12533696444416 has 48 divisors (see below), whose sum is σ = 28641454798320. Its totient is φ = 5371584184320.

The previous prime is 12533696444407. The next prime is 12533696444417. The reversal of 12533696444416 is 61444469633521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12533696444417) 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 3 ways as a sum of consecutive naturals, for example, 437126305 + ... + 437154976.

It is an arithmetic number, because the mean of its divisors is an integer number (596696974965).

Almost surely, 212533696444416 is an apocalyptic number.

12533696444416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12533696444416 is an abundant number, since it is smaller than the sum of its proper divisors (16107758353904).

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

12533696444416 is an frugal number, since it uses more digits than its factorization.

12533696444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874281310 (or 874281290 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 58.

The spelling of 12533696444416 in words is "twelve trillion, five hundred thirty-three billion, six hundred ninety-six million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 14336 874281281 1748562562 3497125124 6119968967 6994250248 12239937934 13988500496 24479875868 27977000992 48959751736 55954001984 97919503472 111908003968 195839006944 223816007936 391678013888 447632015872 783356027776 895264031744 1566712055552 1790528063488 3133424111104 6266848222208 12533696444416