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505225314441 = 346539551837
BaseRepresentation
bin1110101101000011100…
…01101000000010001001
31210022002000120012010000
413112201301220002021
531234200140030231
61024033003513213
751333645213261
oct7264161500211
91708060505100
10505225314441
111852a0578591
1281abab28809
1338847888003
141a64b1b67a1
15d21e7446e6
hex75a1c68089

505225314441 has 20 divisors (see below), whose sum is σ = 755875148292. Its totient is φ = 336301041888.

The previous prime is 505225314427. The next prime is 505225314467. The reversal of 505225314441 is 144413522505.

505225314441 is a `hidden beast` number, since 5 + 0 + 522 + 53 + 1 + 44 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278682633216 + 226542681225 = 527904^2 + 475965^2 .

It is not a de Polignac number, because 505225314441 - 27 = 505225314313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505225314396 and 505225314405.

It is not an unprimeable number, because it can be changed into a prime (505225314421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4723026 + ... + 4828811.

Almost surely, 2505225314441 is an apocalyptic number.

It is an amenable number.

505225314441 is a deficient number, since it is larger than the sum of its proper divisors (250649833851).

505225314441 is an equidigital number, since it uses as much as digits as its factorization.

505225314441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9552502 (or 9552493 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 505225314441 its reverse (144413522505), we get a palindrome (649638836946).

The spelling of 505225314441 in words is "five hundred five billion, two hundred twenty-five million, three hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 653 1959 5877 17631 52893 9551837 28655511 85966533 257899599 773698797 6237349561 18712048683 56136146049 168408438147 505225314441