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5105452998816 = 25342897679909
BaseRepresentation
bin100101001001011010010…
…1101100110000010100000
3200002002001210112111210000
41022102310231212002200
51132121431431430231
614505225052140000
71034566612314312
oct112226455460240
920062053474700
105105452998816
111699235134355
126a5579a67600
132b059953c211
14139168b077b2
158cc105446e6
hex4a4b4b660a0

5105452998816 has 120 divisors (see below), whose sum is σ = 15020200489140. Its totient is φ = 1701227722752.

The previous prime is 5105452998769. The next prime is 5105452998817. The reversal of 5105452998816 is 6188992545015.

5105452998816 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 4 + 529 + 98 + 8 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5061690032400 + 43762966416 = 2249820^2 + 209196^2 .

It is not an unprimeable number, because it can be changed into a prime (5105452998817) 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 19 ways as a sum of consecutive naturals, for example, 7169070 + ... + 7848978.

Almost surely, 25105452998816 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 5105452998816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510100244570).

5105452998816 is an abundant number, since it is smaller than the sum of its proper divisors (9914747490324).

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

5105452998816 is a wasteful number, since it uses less digits than its factorization.

5105452998816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682828 (or 682811 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 5105452998816 in words is "five trillion, one hundred five billion, four hundred fifty-two million, nine hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 2897 5794 8691 11588 17382 23176 26073 34764 46352 52146 69528 78219 92704 104292 139056 156438 208584 234657 278112 312876 417168 469314 625752 679909 834336 938628 1251504 1359818 1877256 2039727 2503008 2719636 3754512 4079454 5439272 6119181 7509024 8158908 10878544 12238362 16317816 18357543 21757088 24476724 32635632 36715086 48953448 55072629 65271264 73430172 97906896 110145258 146860344 195813792 220290516 293720688 440581032 587441376 881162064 1762324128 1969696373 3939392746 5909089119 7878785492 11818178238 15757570984 17727267357 23636356476 31515141968 35454534714 47272712952 53181802071 63030283936 70909069428 94545425904 106363604142 141818138856 159545406213 189090851808 212727208284 283636277712 319090812426 425454416568 567272555424 638181624852 850908833136 1276363249704 1701817666272 2552726499408 5105452998816