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505444224234331 = 59113577491926711
BaseRepresentation
bin111001011101100101110011…
…1011100000111001101011011
32110021121222220000222000110101
41302323023213130013031123
51012222144232400444311
64550553512053200231
7211315066030415614
oct16273134734071533
92407558800860411
10505444224234331
11137060767749518
1248832588030077
131890525535b085
148cb58b95b6c0b
153d67b6e2b9ec1
hex1cbb2e770735b

505444224234331 has 32 divisors (see below), whose sum is σ = 519583617100800. Its totient is φ = 491508363386880.

The previous prime is 505444224234329. The next prime is 505444224234407. The reversal of 505444224234331 is 133432422444505.

It is a cyclic number.

It is not a de Polignac number, because 505444224234331 - 21 = 505444224234329 is a prime.

It is a super-2 number, since 2×5054442242343312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505444224234311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18922686066 + ... + 18922712776.

It is an arithmetic number, because the mean of its divisors is an integer number (16236988034400).

Almost surely, 2505444224234331 is an apocalyptic number.

505444224234331 is a deficient number, since it is larger than the sum of its proper divisors (14139392866469).

505444224234331 is a wasteful number, since it uses less digits than its factorization.

505444224234331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32379.

The product of its (nonzero) digits is 5529600, while the sum is 46.

Adding to 505444224234331 its reverse (133432422444505), we get a palindrome (638876646678836).

The spelling of 505444224234331 in words is "five hundred five trillion, four hundred forty-four billion, two hundred twenty-four million, two hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 59 113 577 4919 6667 26711 34043 65201 290221 555847 1575949 2838263 3018343 3846859 15412247 32794973 131391409 167457517 178082237 320723719 909322573 1741583911 7752093131 14847229217 18922699421 75812842993 102753450749 875986523803 4472957736587 8566851258209 505444224234331