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20604810240 = 2103357107199
BaseRepresentation
bin10011001100001001…
…000111010000000000
31222011222120210221000
4103030021013100000
5314144312411430
613244332332000
71326414666030
oct231411072000
958158523830
1020604810240
1188139729a3
123bb0614000
131c34a98b11
14dd67618c0
15808dd8e60
hex4cc247400

20604810240 has 704 divisors, whose sum is σ = 84893184000. Its totient is φ = 4642209792.

The previous prime is 20604810229. The next prime is 20604810253. The reversal of 20604810240 is 4201840602.

20604810240 is a `hidden beast` number, since 2 + 0 + 604 + 8 + 10 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103541661 + ... + 103541859.

Almost surely, 220604810240 is an apocalyptic number.

20604810240 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 20604810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42446592000).

20604810240 is an abundant number, since it is smaller than the sum of its proper divisors (64288373760).

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

20604810240 is a wasteful number, since it uses less digits than its factorization.

20604810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20604810240 in words is "twenty billion, six hundred four million, eight hundred ten thousand, two hundred forty".