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8112244624 = 24112232892
BaseRepresentation
bin1111000111000011…
…10000011110010000
3202221100121201120121
413203201300132100
5113103213311444
63420545320024
7405012640651
oct74341603620
922840551517
108112244624
113493172500
1216a4936014
139c3883063
1456d565528
153272bd084
hex1e3870790

8112244624 has 135 divisors (see below), whose sum is σ = 18265232209. Its totient is φ = 3487432960.

The previous prime is 8112244619. The next prime is 8112244633. The reversal of 8112244624 is 4264422118.

The square root of 8112244624 is 90068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1557723024 + 6554521600 = 39468^2 + 80960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8112244624.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91148772 + ... + 91148860.

Almost surely, 28112244624 is an apocalyptic number.

8112244624 is the 90068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8112244624

8112244624 is an abundant number, since it is smaller than the sum of its proper divisors (10152987585).

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

8112244624 is a wasteful number, since it uses less digits than its factorization.

8112244624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 125 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The cubic root of 8112244624 is about 2009.3103104732.

The spelling of 8112244624 in words is "eight billion, one hundred twelve million, two hundred forty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 89 92 121 176 178 184 242 253 356 368 484 506 529 712 968 979 1012 1058 1424 1936 1958 2024 2047 2116 2783 3916 4048 4094 4232 5566 5819 7832 7921 8188 8464 10769 11132 11638 15664 15842 16376 21538 22264 22517 23276 31684 32752 43076 44528 45034 46552 47081 63368 64009 86152 87131 90068 93104 94162 126736 128018 172304 174262 180136 182183 188324 247687 256036 348524 360272 364366 376648 495374 512072 517891 697048 728732 753296 958441 990748 1024144 1035782 1394096 1457464 1916882 1981496 2004013 2071564 2914928 3833764 3962992 4008026 4143128 4190209 5696801 7667528 8016052 8286256 8380418 11393602 15335056 16032104 16760836 22044143 22787204 32064208 33521672 44088286 45574408 46092299 67043344 88176572 91148816 92184598 176353144 184369196 352706288 368738392 507015289 737476784 1014030578 2028061156 4056122312 8112244624