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20653056000 = 213355383
BaseRepresentation
bin10011001111000001…
…001010000000000000
31222022100100221200000
4103033001022000000
5314244140243000
613253214400000
71330542036153
oct231701120000
958270327600
1020653056000
118839125725
124004800000
131c41a8b8c5
14ddcd1dc9a
1580d269000
hex4cf04a000

20653056000 has 672 divisors, whose sum is σ = 78144550848. Its totient is φ = 5441126400.

The previous prime is 20653055987. The next prime is 20653056041. The reversal of 20653056000 is 65035602.

20653056000 is a `hidden beast` number, since 2 + 0 + 6 + 53 + 0 + 5 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248831959 + ... + 248832041.

It is an arithmetic number, because the mean of its divisors is an integer number (116286534).

Almost surely, 220653056000 is an apocalyptic number.

20653056000 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 20653056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39072275424).

20653056000 is an abundant number, since it is smaller than the sum of its proper divisors (57491494848).

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

20653056000 is an frugal number, since it uses more digits than its factorization.

20653056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 20653056000 in words is "twenty billion, six hundred fifty-three million, fifty-six thousand".