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505116150 = 2352711101433
BaseRepresentation
bin11110000110110…
…111010111110110
31022012110120002120
4132012313113312
52013302204100
6122042220410
715342262560
oct3606672766
91265416076
10505116150
1123a141270
121211b4706
13808569c6
144b128330
152e5290a0
hex1e1b75f6

505116150 has 192 divisors, whose sum is σ = 1580898816. Its totient is φ = 103680000.

The previous prime is 505116091. The next prime is 505116203. The reversal of 505116150 is 51611505.

It is a self number, because there is not a number n which added to its sum of digits gives 505116150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166334 + ... + 1166766.

It is an arithmetic number, because the mean of its divisors is an integer number (8233848).

Almost surely, 2505116150 is an apocalyptic number.

505116150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505116150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790449408).

505116150 is an abundant number, since it is smaller than the sum of its proper divisors (1075782666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505116150 is a wasteful number, since it uses less digits than its factorization.

505116150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 505116150 is about 22474.7892092451. The cubic root of 505116150 is about 796.3984720347.

Adding to 505116150 its reverse (51611505), we get a palindrome (556727655).

The spelling of 505116150 in words is "five hundred five million, one hundred sixteen thousand, one hundred fifty".