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5258327712 = 253112329413
BaseRepresentation
bin1001110010110101…
…11011011010100000
3111120110110201120020
410321122323122200
541232112441322
62225440113440
7244210022331
oct47132733240
914513421506
105258327712
112259209490
121029005880
1365a528921
1437c508288
1520b98305c
hex1396bb6a0

5258327712 has 144 divisors (see below), whose sum is σ = 15742768608. Its totient is φ = 1523991040.

The previous prime is 5258327699. The next prime is 5258327719. The reversal of 5258327712 is 2177238525.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5258327719) 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 23 ways as a sum of consecutive naturals, for example, 553918 + ... + 563330.

It is an arithmetic number, because the mean of its divisors is an integer number (109324782).

Almost surely, 25258327712 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 5258327712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871384304).

5258327712 is an abundant number, since it is smaller than the sum of its proper divisors (10484440896).

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

5258327712 is a wasteful number, since it uses less digits than its factorization.

5258327712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9452 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 5258327712 is about 72514.3276325445. The cubic root of 5258327712 is about 1738.9318004290.

The spelling of 5258327712 in words is "five billion, two hundred fifty-eight million, three hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 529 552 736 759 1012 1056 1058 1104 1518 1587 2024 2116 2208 3036 3174 4048 4232 5819 6072 6348 8096 8464 9413 11638 12144 12696 16928 17457 18826 23276 24288 25392 28239 34914 37652 46552 50784 56478 69828 75304 93104 103543 112956 139656 150608 186208 207086 216499 225912 279312 301216 310629 414172 432998 451824 558624 621258 649497 828344 865996 903648 1242516 1298994 1656688 1731992 2381489 2485032 2597988 3313376 3463984 4762978 4970064 4979477 5195976 6927968 7144467 9525956 9940128 9958954 10391952 14288934 14938431 19051912 19917908 20783904 28577868 29876862 38103824 39835816 54774247 57155736 59753724 76207648 79671632 109548494 114311472 119507448 159343264 164322741 219096988 228622944 239014896 328645482 438193976 478029792 657290964 876387952 1314581928 1752775904 2629163856 5258327712