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20052846000 = 24355311331
BaseRepresentation
bin10010101011001111…
…100010010110110000
31220202111222010100000
4102223033202112300
5312032012033000
613113454030000
71306633243605
oct225317422660
956674863300
1020052846000
118560344000
123a777a8300
131b7761b565
14d833206ac
157c5709000
hex4ab3e25b0

20052846000 has 960 divisors, whose sum is σ = 82466721792. Its totient is φ = 4704480000.

The previous prime is 20052845951. The next prime is 20052846001. The reversal of 20052846000 is 64825002.

20052846000 is a `hidden beast` number, since 2 + 0 + 0 + 52 + 8 + 4 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20052846001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 646865985 + ... + 646866015.

Almost surely, 220052846000 is an apocalyptic number.

20052846000 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 20052846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41233360896).

20052846000 is an abundant number, since it is smaller than the sum of its proper divisors (62413875792).

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

20052846000 is an equidigital number, since it uses as much as digits as its factorization.

20052846000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 20052846000 in words is "twenty billion, fifty-two million, eight hundred forty-six thousand".