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20425213045440 = 2632573171216273
BaseRepresentation
bin1001010010011100111011…
…00100010110101011000000
32200022122001012211021212100
410221032131210112223000
510134121314014423230
6111235114025230400
74205446551204000
oct451163544265300
980278035737770
1020425213045440
116565314309675
12235a662632400
13b5212132c678
1450882abc4000
1525648eed6660
hex12939d916ac0

20425213045440 has 672 divisors, whose sum is σ = 86748553756800. Its totient is φ = 4393991798784.

The previous prime is 20425213045357. The next prime is 20425213045451. The reversal of 20425213045440 is 4454031252402.

20425213045440 is a `hidden beast` number, since 2 + 0 + 42 + 5 + 2 + 130 + 45 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×204252130454402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20425213045395 and 20425213045404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16185144 + ... + 17401416.

Almost surely, 220425213045440 is an apocalyptic number.

20425213045440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20425213045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43374276878400).

20425213045440 is an abundant number, since it is smaller than the sum of its proper divisors (66323340711360).

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

20425213045440 is a wasteful number, since it uses less digits than its factorization.

20425213045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216334 (or 1216307 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 20425213045440 its reverse (4454031252402), we get a palindrome (24879244297842).

The spelling of 20425213045440 in words is "twenty trillion, four hundred twenty-five billion, two hundred thirteen million, forty-five thousand, four hundred forty".