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20345025632144 = 243141018196839
BaseRepresentation
bin1001010000000111100100…
…00001101001011110010000
32200000222001211001122011012
410220003302001221132100
510131313103030212034
6111134213054510052
74166610462346643
oct450036201513620
980028054048135
1020345025632144
116534305637174
122347003b05328
13b476b2429615
145049c11c1a5a
1525434a347cce
hex1280f2069790

20345025632144 has 20 divisors (see below), whose sum is σ = 40690051265280. Its totient is φ = 9844367241120.

The previous prime is 20345025631981. The next prime is 20345025632149. The reversal of 20345025632144 is 44123652054302.

20345025632144 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (20345025632149) 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 3 ways as a sum of consecutive naturals, for example, 20509097924 + ... + 20509098915.

It is an arithmetic number, because the mean of its divisors is an integer number (2034502563264).

Almost surely, 220345025632144 is an apocalyptic number.

It is an amenable number.

20345025632144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

20345025632144 is a wasteful number, since it uses less digits than its factorization.

20345025632144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41018196878 (or 41018196872 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 20345025632144 its reverse (44123652054302), we get a palindrome (64468677686446).

The spelling of 20345025632144 in words is "twenty trillion, three hundred forty-five billion, twenty-five million, six hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 41018196839 82036393678 164072787356 328145574712 656291149424 1271564102009 2543128204018 5086256408036 10172512816072 20345025632144