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505131641 = 731472687
BaseRepresentation
bin11110000110111…
…011001001111001
31022012111100100022
4132012323021321
52013303203031
6122042420225
715342356000
oct3606731171
91265440308
10505131641
1123a151973
12121201675
1380860a81
144b12dc37
152e52d97b
hex1e1bb279

505131641 has 8 divisors (see below), whose sum is σ = 589075200. Its totient is φ = 432969684.

The previous prime is 505131631. The next prime is 505131647. The reversal of 505131641 is 146131505.

It is not a de Polignac number, because 505131641 - 214 = 505115257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505131641.

It is not an unprimeable number, because it can be changed into a prime (505131647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736001 + ... + 736686.

It is an arithmetic number, because the mean of its divisors is an integer number (73634400).

Almost surely, 2505131641 is an apocalyptic number.

It is an amenable number.

505131641 is a deficient number, since it is larger than the sum of its proper divisors (83943559).

505131641 is an equidigital number, since it uses as much as digits as its factorization.

505131641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472708 (or 1472694 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 505131641 is about 22475.1338371988. The cubic root of 505131641 is about 796.4066133190.

The spelling of 505131641 in words is "five hundred five million, one hundred thirty-one thousand, six hundred forty-one".

Divisors: 1 7 49 343 1472687 10308809 72161663 505131641