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41821886016 = 263285212
BaseRepresentation
bin100110111100110001…
…110101011001000000
310222221122020221021100
4212330301311121000
51141122400323031
631113540054400
73010246110561
oct467461653100
9128848227240
1041821886016
1116811400a69
128132094400
133c36666321
14204a540168
15114b914de6
hex9bcc75640

41821886016 has 63 divisors (see below), whose sum is σ = 119888954913. Its totient is φ = 13938992640.

The previous prime is 41821886011. The next prime is 41821886021. The reversal of 41821886016 is 61068812814.

The square root of 41821886016 is 204504.

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

41821886016 is a `hidden beast` number, since 4 + 18 + 21 + 8 + 8 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (41821886011) and next prime (41821886021).

It can be written as a sum of positive squares in only one way, i.e., 20248151616 + 21573734400 = 142296^2 + 146880^2 .

It is a super-3 number, since 3×418218860163 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (41821886011) 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 8 ways as a sum of consecutive naturals, for example, 4903836 + ... + 4912356.

Almost surely, 241821886016 is an apocalyptic number.

41821886016 is the 204504-th square number.

It is an amenable number.

41821886016 is an abundant number, since it is smaller than the sum of its proper divisors (78067068897).

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

41821886016 is an frugal number, since it uses more digits than its factorization.

41821886016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17060 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 41821886016 in words is "forty-one billion, eight hundred twenty-one million, eight hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 8521 17042 25563 34084 51126 68168 76689 102252 136336 153378 204504 272672 306756 409008 545344 613512 818016 1227024 1636032 2454048 4908096 72607441 145214882 217822323 290429764 435644646 580859528 653466969 871289292 1161719056 1306933938 1742578584 2323438112 2613867876 3485157168 4646876224 5227735752 6970314336 10455471504 13940628672 20910943008 41821886016