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20420325102400 = 265212762703189
BaseRepresentation
bin1001010010010011110100…
…01110010101001101000000
32200022011102120022001112221
410221021322032111031000
510134031311211234100
6111232545015500424
74205214456316126
oct451117216251500
980264376261487
1020420325102400
116563236188723
122359719687714
13b51822776492
145084c5971916
152562a5d1701a
hex12927a395340

20420325102400 has 42 divisors (see below), whose sum is σ = 50246762459030. Its totient is φ = 8168130040320.

The previous prime is 20420325102379. The next prime is 20420325102409. The reversal of 20420325102400 is 420152302402.

It can be written as a sum of positive squares in 3 ways, for example, as 2962501900864 + 17457823201536 = 1721192^2 + 4178256^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20420325102409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6381349995 + ... + 6381353194.

Almost surely, 220420325102400 is an apocalyptic number.

20420325102400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20420325102400 is an abundant number, since it is smaller than the sum of its proper divisors (29826437356630).

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

20420325102400 is a wasteful number, since it uses less digits than its factorization.

20420325102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12762703211 (or 12762703196 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 20420325102400 its reverse (420152302402), we get a palindrome (20840477404802).

The spelling of 20420325102400 in words is "twenty trillion, four hundred twenty billion, three hundred twenty-five million, one hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 12762703189 25525406378 51050812756 63813515945 102101625512 127627031890 204203251024 255254063780 319067579725 408406502048 510508127560 638135159450 816813004096 1021016255120 1276270318900 2042032510240 2552540637800 4084065020480 5105081275600 10210162551200 20420325102400