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541020435624611 = 10132419632207269
BaseRepresentation
bin111101100000011100010001…
…0111000011011001010100011
32121221121001022101011101002122
41323000320202320123022203
51031403034323004441421
65154353205034534455
7221646302513642105
oct17300704270331243
92557531271141078
10541020435624611
11147427529599a98
125081947529742b
131a2b6014c37347
14978575905d575
1542832b2e9b2ab
hex1ec0e22e1b2a3

541020435624611 has 8 divisors (see below), whose sum is σ = 541556996575920. Its totient is φ = 540483879573792.

The previous prime is 541020435624577. The next prime is 541020435624673. The reversal of 541020435624611 is 116426534020145.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-541020435624611 is a prime.

It is a super-3 number, since 3×5410204356246113 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541020435824611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244004885 + ... + 246212153.

It is an arithmetic number, because the mean of its divisors is an integer number (67694624571990).

Almost surely, 2541020435624611 is an apocalyptic number.

541020435624611 is a deficient number, since it is larger than the sum of its proper divisors (536560951309).

541020435624611 is a wasteful number, since it uses less digits than its factorization.

541020435624611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450245.

The product of its (nonzero) digits is 691200, while the sum is 44.

Adding to 541020435624611 its reverse (116426534020145), we get a palindrome (657446969644756).

The spelling of 541020435624611 in words is "five hundred forty-one trillion, twenty billion, four hundred thirty-five million, six hundred twenty-four thousand, six hundred eleven".

Divisors: 1 1013 241963 2207269 245108519 2235963497 534077429047 541020435624611