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54153325210241 = 593757120635341
BaseRepresentation
bin11000101000000100011011…
…01101100110101010000001
321002202000012100021122212102
430110002031231212222001
524044222002223211431
6311101405534440145
714256306611260055
oct1424021555465201
9232660170248772
1054153325210241
1116289329341544
1260a733b063055
13242a837968c8a
14d5306bb97c65
1563d9bb5cbdcb
hex31408db66a81

54153325210241 has 8 divisors (see below), whose sum is σ = 54316304006184. Its totient is φ = 53990587687680.

The previous prime is 54153325210223. The next prime is 54153325210253. The reversal of 54153325210241 is 14201252335145.

It can be written as a sum of positive squares in 4 ways, for example, as 8708253450625 + 45445071759616 = 2950975^2 + 6741296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54153325210241 - 230 = 54152251468417 is a prime.

It is a super-2 number, since 2×541533252102412 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54153325210195 and 54153325210204.

It is not an unprimeable number, because it can be changed into a prime (54153325210261) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 59868770 + ... + 60766571.

It is an arithmetic number, because the mean of its divisors is an integer number (6789538000773).

Almost surely, 254153325210241 is an apocalyptic number.

It is an amenable number.

54153325210241 is a deficient number, since it is larger than the sum of its proper divisors (162978795943).

54153325210241 is a wasteful number, since it uses less digits than its factorization.

54153325210241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120636691.

The product of its (nonzero) digits is 144000, while the sum is 38.

Adding to 54153325210241 its reverse (14201252335145), we get a palindrome (68354577545386).

The spelling of 54153325210241 in words is "fifty-four trillion, one hundred fifty-three billion, three hundred twenty-five million, two hundred ten thousand, two hundred forty-one".

Divisors: 1 593 757 448901 120635341 71536757213 91320953137 54153325210241