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5344600206 = 2311232473257
BaseRepresentation
bin1001111101001000…
…00010000010001110
3111210110210211011210
410332210002002032
541421204201311
62242201155250
7246305231541
oct47644020216
914713724153
105344600206
1122a2984270
121051a8bb26
1367237403a
14389b64858
152143253a6
hex13e90208e

5344600206 has 96 divisors (see below), whose sum is σ = 12453170688. Its totient is φ = 1515733120.

The previous prime is 5344600201. The next prime is 5344600207. The reversal of 5344600206 is 6020064435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5344600201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1639330 + ... + 1642586.

It is an arithmetic number, because the mean of its divisors is an integer number (129720528).

Almost surely, 25344600206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5344600206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6226585344).

5344600206 is an abundant number, since it is smaller than the sum of its proper divisors (7108570482).

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

5344600206 is a wasteful number, since it uses less digits than its factorization.

5344600206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 5344600206 is about 73106.7726411172. The cubic root of 5344600206 is about 1748.3903791079.

It can be divided in two parts, 5344 and 600206, that added together give a triangular number (605550 = T1100).

The spelling of 5344600206 in words is "five billion, three hundred forty-four million, six hundred thousand, two hundred six".

Divisors: 1 2 3 6 11 22 23 33 46 47 66 69 94 138 141 253 282 506 517 529 759 1034 1058 1081 1518 1551 1587 2162 3102 3174 3243 3257 5819 6486 6514 9771 11638 11891 17457 19542 23782 24863 34914 35673 35827 49726 71346 71654 74589 74911 107481 149178 149822 153079 214962 224733 273493 306158 449466 459237 546986 820479 824021 918474 1640958 1648042 1683869 1722953 2472063 3367738 3445906 3520817 4944126 5051607 5168859 7041634 10103214 10337718 10562451 18952483 21124902 37904966 38728987 56857449 77457974 80978791 113714898 116186961 161957582 232373922 242936373 485872746 890766701 1781533402 2672300103 5344600206