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4227810394896 = 24321123724212
BaseRepresentation
bin111101100001011101001…
…000110000001100010000
3112222011201101010211021100
4331201131020300030100
51023232023430114041
612554121305224400
7614310040262454
oct75413510601420
915864641124240
104227810394896
111390005827100
12583465192100
132488b097a87a
141088acb36664
1574e95be16b6
hex3d85d230310

4227810394896 has 405 divisors, whose sum is σ = 13398240705759. Its totient is φ = 1243567987200.

The previous prime is 4227810394891. The next prime is 4227810394909. The reversal of 4227810394896 is 6984930187224.

The square root of 4227810394896 is 2056164.

It is a perfect power (a square), and thus also a powerful number.

4227810394896 is a `hidden beast` number, since 4 + 227 + 8 + 10 + 394 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 282279690000 + 3945530704896 = 531300^2 + 1986336^2 .

It is not an unprimeable number, because it can be changed into a prime (4227810394891) 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 80 ways as a sum of consecutive naturals, for example, 10042304766 + ... + 10042305186.

Almost surely, 24227810394896 is an apocalyptic number.

4227810394896 is the 2056164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4227810394896

4227810394896 is an abundant number, since it is smaller than the sum of its proper divisors (9170430310863).

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

4227810394896 is a wasteful number, since it uses less digits than its factorization.

4227810394896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 4227810394896 in words is "four trillion, two hundred twenty-seven billion, eight hundred ten million, three hundred ninety-four thousand, eight hundred ninety-six".