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21144844112 = 247262172031
BaseRepresentation
bin10011101100010101…
…001011011101010000
32000120121202101010112
4103230111023131100
5321301040002422
613414103220452
71345663131560
oct235425133520
960517671115
1021144844112
118a70793387
124121447728
131cbc929ca2
141048378da0
1583b50dee2
hex4ec54b750

21144844112 has 40 divisors (see below), whose sum is σ = 46839240192. Its totient is φ = 9058492800.

The previous prime is 21144844099. The next prime is 21144844117.

21144844112 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21144844117) 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, 257537 + ... + 329567.

Almost surely, 221144844112 is an apocalyptic number.

It is an amenable number.

21144844112 is an abundant number, since it is smaller than the sum of its proper divisors (25694396080).

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

21144844112 is a wasteful number, since it uses less digits than its factorization.

21144844112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74667 (or 74661 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The spelling of 21144844112 in words is "twenty-one billion, one hundred forty-four million, eight hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 2621 5242 10484 18347 20968 36694 41936 72031 73388 144062 146776 288124 293552 504217 576248 1008434 1152496 2016868 4033736 8067472 188793251 377586502 755173004 1321552757 1510346008 2643105514 3020692016 5286211028 10572422056 21144844112