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505225320441 = 31947188587279
BaseRepresentation
bin1110101101000011100…
…01101001011111111001
31210022002000120111100020
413112201301221133321
531234200140223231
61024033004001053
751333645236622
oct7264161513771
91708060514306
10505225320441
111852a0582046
1281abab30189
133884788a96a
141a64b1b8a49
15d21e746396
hex75a1c697f9

505225320441 has 16 divisors (see below), whose sum is σ = 724175155200. Its totient is φ = 312300532368.

The previous prime is 505225320433. The next prime is 505225320443. The reversal of 505225320441 is 144023522505.

It is a happy number.

It is not a de Polignac number, because 505225320441 - 23 = 505225320433 is a prime.

It is a super-2 number, since 2×5052253204412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505225320443) 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 15 ways as a sum of consecutive naturals, for example, 94290961 + ... + 94296318.

It is an arithmetic number, because the mean of its divisors is an integer number (45260947200).

Almost surely, 2505225320441 is an apocalyptic number.

It is an amenable number.

505225320441 is a deficient number, since it is larger than the sum of its proper divisors (218949834759).

505225320441 is a wasteful number, since it uses less digits than its factorization.

505225320441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188587348.

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 505225320441 its reverse (144023522505), we get a palindrome (649248842946).

The spelling of 505225320441 in words is "five hundred five billion, two hundred twenty-five million, three hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 19 47 57 141 893 2679 188587279 565761837 3583158301 8863602113 10749474903 26590806339 168408440147 505225320441