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541055306461 = 17104930340117
BaseRepresentation
bin1111101111110010110…
…10001100101011011101
31220201120002000101001111
413313321122030223131
532331040124301321
61052320220542021
754042566136355
oct7677132145335
91821502011044
10541055306461
1119950768493a
1288a3a3b1911
133c037a33017
141c289a17b65
15e11a0c35e1
hex7df968cadd

541055306461 has 8 divisors (see below), whose sum is σ = 573428230200. Its totient is φ = 508743065088.

The previous prime is 541055306447. The next prime is 541055306527. The reversal of 541055306461 is 164603550145.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 119945161561 + 421110144900 = 346331^2 + 648930^2 .

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 541055306461 - 217 = 541055175389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541055306761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15152226 + ... + 15187891.

It is an arithmetic number, because the mean of its divisors is an integer number (71678528775).

Almost surely, 2541055306461 is an apocalyptic number.

It is an amenable number.

541055306461 is a deficient number, since it is larger than the sum of its proper divisors (32372923739).

541055306461 is a wasteful number, since it uses less digits than its factorization.

541055306461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30341183.

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 541055306461 in words is "five hundred forty-one billion, fifty-five million, three hundred six thousand, four hundred sixty-one".

Divisors: 1 17 1049 17833 30340117 515781989 31826782733 541055306461