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5343122736 = 2432761113769
BaseRepresentation
bin1001111100111100…
…11001010100110000
3111210101000202110200
410332132121110300
541420314411421
62242105355200
7246256536210
oct47636312460
914711022420
105343122736
1122a2065216
121051498b00
13671c776b3
1438989c240
15214132726
hex13e799530

5343122736 has 240 divisors, whose sum is σ = 17546168640. Its totient is φ = 1486356480.

The previous prime is 5343122731. The next prime is 5343122779. The reversal of 5343122736 is 6372213435.

5343122736 is a `hidden beast` number, since 534 + 31 + 22 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5343122736.

It is not an unprimeable number, because it can be changed into a prime (5343122731) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6947760 + ... + 6948528.

It is an arithmetic number, because the mean of its divisors is an integer number (73109036).

Almost surely, 25343122736 is an apocalyptic number.

5343122736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5343122736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773084320).

5343122736 is an abundant number, since it is smaller than the sum of its proper divisors (12203045904).

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

5343122736 is a wasteful number, since it uses less digits than its factorization.

5343122736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 955 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 5343122736 is about 73096.6670649216. The cubic root of 5343122736 is about 1748.2292549636.

It can be divided in two parts, 53431 and 22736, that added together give a palindrome (76167).

The spelling of 5343122736 in words is "five billion, three hundred forty-three million, one hundred twenty-two thousand, seven hundred thirty-six".