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20053224144 = 2432139258501
BaseRepresentation
bin10010101011010000…
…111110101011010000
31220202112200100001100
4102223100332223100
5312032111133034
613113510104400
71306636410222
oct225320765320
956675610040
1020053224144
118560582118
123a7794b100
131b77721705
14d833bc412
157c5781099
hex4ab43ead0

20053224144 has 30 divisors (see below), whose sum is σ = 56121176306. Its totient is φ = 6684408000.

The previous prime is 20053224143. The next prime is 20053224197. The reversal of 20053224144 is 44142235002.

It can be written as a sum of positive squares in only one way, i.e., 17202945600 + 2850278544 = 131160^2 + 53388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20053224143) 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 5 ways as a sum of consecutive naturals, for example, 69629107 + ... + 69629394.

Almost surely, 220053224144 is an apocalyptic number.

20053224144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20053224144 is an abundant number, since it is smaller than the sum of its proper divisors (36067952162).

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

20053224144 is a wasteful number, since it uses less digits than its factorization.

20053224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139258515 (or 139258506 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20053224144 its reverse (44142235002), we get a palindrome (64195459146).

It can be divided in two parts, 200532 and 24144, that added together give a square (224676 = 4742).

The spelling of 20053224144 in words is "twenty billion, fifty-three million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 139258501 278517002 417775503 557034004 835551006 1114068008 1253326509 1671102012 2228136016 2506653018 3342204024 5013306036 6684408048 10026612072 20053224144