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20259360000 = 283254111279
BaseRepresentation
bin10010110111100011…
…010100110100000000
31221021220120010021200
4102313203110310000
5312442344010000
613150152221200
71315021501335
oct226743246400
957256503250
1020259360000
118656976030
123b1499a800
131bab3467a9
14da291a98c
157d88ed500
hex4b78d4d00

20259360000 has 540 divisors, whose sum is σ = 79690490880. Its totient is φ = 4907520000.

The previous prime is 20259359999. The next prime is 20259360007. The reversal of 20259360000 is 6395202.

20259360000 is a `hidden beast` number, since 2 + 0 + 2 + 59 + 3 + 600 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20259360007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15839361 + ... + 15840639.

Almost surely, 220259360000 is an apocalyptic number.

20259360000 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 20259360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39845245440).

20259360000 is an abundant number, since it is smaller than the sum of its proper divisors (59431130880).

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

20259360000 is a wasteful number, since it uses less digits than its factorization.

20259360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 20259360000 in words is "twenty billion, two hundred fifty-nine million, three hundred sixty thousand".