Search a number
-
+
2512063416 = 2331916333797
BaseRepresentation
bin1001010110111011…
…0000101110111000
320111001220001011210
42111232300232320
520121042012131
61053134123120
7116152121022
oct22556605670
96431801153
102512063416
111079aa3475
125a13504a0
13310594275
1419b8b1012
15ea810146
hex95bb0bb8

2512063416 has 64 divisors (see below), whose sum is σ = 6651446400. Its totient is φ = 788393088.

The previous prime is 2512063403. The next prime is 2512063451. The reversal of 2512063416 is 6143602152.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57430 + ... + 91226.

It is an arithmetic number, because the mean of its divisors is an integer number (103928850).

Almost surely, 22512063416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512063416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325723200).

2512063416 is an abundant number, since it is smaller than the sum of its proper divisors (4139382984).

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

2512063416 is a wasteful number, since it uses less digits than its factorization.

2512063416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33988 (or 33984 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2512063416 is about 50120.4889840472. The cubic root of 2512063416 is about 1359.3883163330.

Adding to 2512063416 its reverse (6143602152), we get a palindrome (8655665568).

The spelling of 2512063416 in words is "two billion, five hundred twelve million, sixty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 163 228 326 456 489 652 978 1304 1956 3097 3912 6194 9291 12388 18582 24776 33797 37164 67594 74328 101391 135188 202782 270376 405564 642143 811128 1284286 1926429 2568572 3852858 5137144 5508911 7705716 11017822 15411432 16526733 22035644 33053466 44071288 66106932 104669309 132213864 209338618 314007927 418677236 628015854 837354472 1256031708 2512063416