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20419394870736 = 2432141801353269
BaseRepresentation
bin1001010010010010000101…
…10001110001110111010000
32200022002000201220101121100
410221021002301301313100
510134022410041330421
6111232312425424400
74205152432425351
oct451110261616720
980262021811540
1020419394870736
1165628a9087924
1223594ba03b100
13b51704b26544
145084381c5d28
1525624e317c26
hex129242c71dd0

20419394870736 has 30 divisors (see below), whose sum is σ = 57145945367810. Its totient is φ = 6806464956864.

The previous prime is 20419394870723. The next prime is 20419394870759. The reversal of 20419394870736 is 63707849391402.

20419394870736 is a `hidden beast` number, since 20 + 41 + 93 + 9 + 487 + 0 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19214581301136 + 1204813569600 = 4383444^2 + 1097640^2 .

It is a super-2 number, since 2×204193948707362 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 70900676491 + ... + 70900676778.

Almost surely, 220419394870736 is an apocalyptic number.

It is an amenable number.

20419394870736 is an abundant number, since it is smaller than the sum of its proper divisors (36726550497074).

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

20419394870736 is a wasteful number, since it uses less digits than its factorization.

20419394870736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141801353283 (or 141801353274 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 20419394870736 in words is "twenty trillion, four hundred nineteen billion, three hundred ninety-four million, eight hundred seventy thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 141801353269 283602706538 425404059807 567205413076 850808119614 1134410826152 1276212179421 1701616239228 2268821652304 2552424358842 3403232478456 5104848717684 6806464956912 10209697435368 20419394870736