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20245725000 = 233255176779
BaseRepresentation
bin10010110110101111…
…010011111101001000
31221020221220101120200
4102312233103331020
5312430401200000
613144544052200
71314464552214
oct226657237510
957227811520
1020245725000
11864a202936
123b10304060
131ba8581547
14da0bab944
157d7608500
hex4b6bd3f48

20245725000 has 576 divisors, whose sum is σ = 74582726400. Its totient is φ = 4942080000.

The previous prime is 20245724971. The next prime is 20245725013. The reversal of 20245725000 is 52754202.

20245725000 is a `hidden beast` number, since 20 + 24 + 572 + 50 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 256274961 + ... + 256275039.

It is an arithmetic number, because the mean of its divisors is an integer number (129483900).

Almost surely, 220245725000 is an apocalyptic number.

20245725000 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 20245725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37291363200).

20245725000 is an abundant number, since it is smaller than the sum of its proper divisors (54337001400).

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

20245725000 is a wasteful number, since it uses less digits than its factorization.

20245725000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The spelling of 20245725000 in words is "twenty billion, two hundred forty-five million, seven hundred twenty-five thousand".