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5344948224 = 212327211269
BaseRepresentation
bin1001111101001010…
…10111000000000000
3111210111110111120100
410332211113000000
541421301320344
62242212442400
7246311211300
oct47645270000
914714414510
105344948224
1122a30a1790
121052019400
13672466575
14389c15600
15214393569
hex13e957000

5344948224 has 468 divisors, whose sum is σ = 19665280440. Its totient is φ = 1383137280.

The previous prime is 5344948207. The next prime is 5344948229. The reversal of 5344948224 is 4228494435.

5344948224 is a `hidden beast` number, since 534 + 4 + 94 + 8 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5344948224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5344948229) 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 35 ways as a sum of consecutive naturals, for example, 19869562 + ... + 19869830.

It is an arithmetic number, because the mean of its divisors is an integer number (42019830).

Almost surely, 25344948224 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 5344948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9832640220).

5344948224 is an abundant number, since it is smaller than the sum of its proper divisors (14320332216).

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

5344948224 is a wasteful number, since it uses less digits than its factorization.

5344948224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 292 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 5344948224 is about 73109.1528059244. The cubic root of 5344948224 is about 1748.4283275725.

The spelling of 5344948224 in words is "five billion, three hundred forty-four million, nine hundred forty-eight thousand, two hundred twenty-four".