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20144033024 = 28461170689
BaseRepresentation
bin10010110000101011…
…011000110100000000
31220222212112220102012
4102300223120310000
5312223333024044
613130512312052
71312121312153
oct226053306400
956885486365
1020144033024
1185a7866185
123aa2242628
131b9049788b
14d91499c9a
157cd71c59e
hex4b0ad8d00

20144033024 has 36 divisors (see below), whose sum is σ = 40296836580. Its totient is φ = 10050109440.

The previous prime is 20144033017. The next prime is 20144033033. The reversal of 20144033024 is 42033044102.

It can be written as a sum of positive squares in 2 ways, for example, as 12912231424 + 7231801600 = 113632^2 + 85040^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 32672 + ... + 203360.

Almost surely, 220144033024 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 20144033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20148418290).

20144033024 is an abundant number, since it is smaller than the sum of its proper divisors (20152803556).

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

20144033024 is an equidigital number, since it uses as much as digits as its factorization.

20144033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171166 (or 171152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20144033024 its reverse (42033044102), we get a palindrome (62177077126).

The spelling of 20144033024 in words is "twenty billion, one hundred forty-four million, thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 461 922 1844 3688 7376 14752 29504 59008 118016 170689 341378 682756 1365512 2731024 5462048 10924096 21848192 43696384 78687629 157375258 314750516 629501032 1259002064 2518004128 5036008256 10072016512 20144033024