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5124253104 = 24347354163
BaseRepresentation
bin1001100010110110…
…11110010110110000
3111020010012000210000
410301123132112300
540443302044404
62204250310000
7240661301265
oct46133362660
914203160700
105124253104
11219a564223
12bb0128300
13638814639
143687a726c
151eecec339
hex1316de5b0

5124253104 has 100 divisors (see below), whose sum is σ = 15034518136. Its totient is φ = 1684654848.

The previous prime is 5124253039. The next prime is 5124253117. The reversal of 5124253104 is 4013524215.

5124253104 is a `hidden beast` number, since 5 + 124 + 2 + 531 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 67527 + ... + 121689.

Almost surely, 25124253104 is an apocalyptic number.

5124253104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5124253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517259068).

5124253104 is an abundant number, since it is smaller than the sum of its proper divisors (9910265032).

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

5124253104 is a wasteful number, since it uses less digits than its factorization.

5124253104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54256 (or 54241 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5124253104 is about 71583.8885783666. Note that the first 3 decimals coincide. The cubic root of 5124253104 is about 1724.0248613365.

Adding to 5124253104 its reverse (4013524215), we get a palindrome (9137777319).

The spelling of 5124253104 in words is "five billion, one hundred twenty-four million, two hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 144 146 162 216 219 292 324 432 438 584 648 657 876 1168 1296 1314 1752 1971 2628 3504 3942 5256 5913 7884 10512 11826 15768 23652 31536 47304 54163 94608 108326 162489 216652 324978 433304 487467 649956 866608 974934 1299912 1462401 1949868 2599824 2924802 3899736 3953899 4387203 5849604 7799472 7907798 8774406 11699208 11861697 15815596 17548812 23398416 23723394 31631192 35097624 35585091 47446788 63262384 70195248 71170182 94893576 106755273 142340364 189787152 213510546 284680728 320265819 427021092 569361456 640531638 854042184 1281063276 1708084368 2562126552 5124253104