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5144122206 = 2321923125537
BaseRepresentation
bin1001100101001110…
…10001001101011110
3111021111120111001200
410302213101031132
541013343402311
62210240220330
7241322213556
oct46247211536
914244514050
105144122206
1121aa7a5173
12bb690a6a6
1363c9802c2
1436b29a166
15201924556
hex1329d135e

5144122206 has 72 divisors (see below), whose sum is σ = 12143012544. Its totient is φ = 1571996160.

The previous prime is 5144122199. The next prime is 5144122211. The reversal of 5144122206 is 6022214415.

5144122206 is a `hidden beast` number, since 514 + 4 + 122 + 20 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5144122206.

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, 188670 + ... + 214206.

It is an arithmetic number, because the mean of its divisors is an integer number (168652952).

Almost surely, 25144122206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5144122206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071506272).

5144122206 is an abundant number, since it is smaller than the sum of its proper divisors (6998890338).

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

5144122206 is a wasteful number, since it uses less digits than its factorization.

5144122206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25614 (or 25592 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5144122206 is about 71722.5362490759. The cubic root of 5144122206 is about 1726.2502683902.

The spelling of 5144122206 in words is "five billion, one hundred forty-four million, one hundred twenty-two thousand, two hundred six".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 361 558 589 722 1083 1178 1767 2166 3249 3534 5301 6498 10602 11191 22382 25537 33573 51074 67146 76611 100719 153222 201438 229833 459666 485203 791647 970406 1455609 1583294 2374941 2911218 4366827 4749882 7124823 8733654 9218857 14249646 15041293 18437714 27656571 30082586 45123879 55313142 82969713 90247758 135371637 165939426 270743274 285784567 571569134 857353701 1714707402 2572061103 5144122206