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5474214144 = 2833732309
BaseRepresentation
bin1010001100100100…
…11110000100000000
3112010111200220002000
411012102132010000
542202344323034
62303111224000
7252441024000
oct50622360400
915114626060
105474214144
11235a062123
121089378000
13693185b89
1439d064000
152208c9599
hex14649e100

5474214144 has 288 divisors, whose sum is σ = 18886560000. Its totient is φ = 1563383808.

The previous prime is 5474214139. The next prime is 5474214157. The reversal of 5474214144 is 4414124745.

5474214144 is a `hidden beast` number, since 5 + 474 + 2 + 141 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 5474214099 and 5474214108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2369662 + ... + 2371970.

Almost surely, 25474214144 is an apocalyptic number.

5474214144 is a gapful number since it is divisible by the number (54) 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 5474214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443280000).

5474214144 is an abundant number, since it is smaller than the sum of its proper divisors (13412345856).

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

5474214144 is an equidigital number, since it uses as much as digits as its factorization.

5474214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2321 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 5474214144 is about 73987.9324214429. The cubic root of 5474214144 is about 1762.4112679639.

Adding to 5474214144 its reverse (4414124745), we get a palindrome (9888338889).

It can be divided in two parts, 54742 and 14144, that added together give a palindrome (68886).

The spelling of 5474214144 in words is "five billion, four hundred seventy-four million, two hundred fourteen thousand, one hundred forty-four".