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5753344806 = 232116726473
BaseRepresentation
bin1010101101110110…
…10001001100100110
3112211221221012100200
411112323101030212
543240324013211
62350522051330
7262400424006
oct52673211446
915757835320
105753344806
112492682120
121146949b46
13708c57951
143c8164006
1523a164b56
hex156ed1326

5753344806 has 72 divisors (see below), whose sum is σ = 13806944424. Its totient is φ = 1717151040.

The previous prime is 5753344787. The next prime is 5753344819. The reversal of 5753344806 is 6084433575.

5753344806 is a `hidden beast` number, since 575 + 3 + 34 + 48 + 0 + 6 = 666.

It is a super-3 number, since 3×57533448063 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 885586 + ... + 892058.

It is an arithmetic number, because the mean of its divisors is an integer number (191763117).

Almost surely, 25753344806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5753344806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903472212).

5753344806 is an abundant number, since it is smaller than the sum of its proper divisors (8053599618).

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

5753344806 is a wasteful number, since it uses less digits than its factorization.

5753344806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6626 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5753344806 is about 75850.8062317073. The cubic root of 5753344806 is about 1791.8712478828.

The spelling of 5753344806 in words is "five billion, seven hundred fifty-three million, three hundred forty-four thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 1206 1474 2211 4422 4489 6473 6633 8978 12946 13266 13467 19419 26934 38838 40401 49379 58257 71203 80802 98758 116514 142406 148137 213609 296274 427218 433691 444411 640827 867382 888822 1281654 1301073 2602146 3903219 4770601 7806438 9541202 14311803 28623606 29057297 42935409 58114594 85870818 87171891 174343782 261515673 319630267 523031346 639260534 958890801 1917781602 2876672403 5753344806