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5193735228 = 2235111992441
BaseRepresentation
bin1001101011001001…
…00001110000111100
3111101221221002100000
410311210201300330
541114044011403
62215211434300
7242464010133
oct46544416074
914357832300
105193735228
112225801170
12100b455990
1364a031516
14373ad291a
15205e747a3
hex135921c3c

5193735228 has 144 divisors (see below), whose sum is σ = 14933318400. Its totient is φ = 1565308800.

The previous prime is 5193735203. The next prime is 5193735247. The reversal of 5193735228 is 8225373915.

5193735228 is a `hidden beast` number, since 51 + 9 + 3 + 73 + 522 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2126488 + ... + 2128928.

It is an arithmetic number, because the mean of its divisors is an integer number (103703600).

Almost surely, 25193735228 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 5193735228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7466659200).

5193735228 is an abundant number, since it is smaller than the sum of its proper divisors (9739583172).

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

5193735228 is a wasteful number, since it uses less digits than its factorization.

5193735228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2656 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 5193735228 is about 72067.5740399245. The cubic root of 5193735228 is about 1731.7821887221.

The spelling of 5193735228 in words is "five billion, one hundred ninety-three million, seven hundred thirty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 199 243 297 324 396 398 486 594 597 796 891 972 1188 1194 1782 1791 2189 2388 2441 2673 3564 3582 4378 4882 5346 5373 6567 7164 7323 8756 9764 10692 10746 13134 14646 16119 19701 21492 21969 26268 26851 29292 32238 39402 43938 48357 53702 59103 64476 65907 78804 80553 87876 96714 107404 118206 131814 161106 177309 193428 197721 236412 241659 263628 322212 354618 395442 483318 485759 531927 593163 709236 724977 790884 966636 971518 1063854 1186326 1449954 1457277 1943036 2127708 2174931 2372652 2899908 2914554 4349862 4371831 5343349 5829108 6524793 8699724 8743662 10686698 13049586 13115493 16030047 17487324 21373396 26099172 26230986 32060094 39346479 48090141 52461972 64120188 78692958 96180282 118039437 144270423 157385916 192360564 236078874 288540846 432811269 472157748 577081692 865622538 1298433807 1731245076 2596867614 5193735228