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20655135900 = 2232527103139229
BaseRepresentation
bin10011001111001001…
…000101110010011100
31222022111021121202100
4103033021011302130
5314300203322100
613253331125100
71330565521050
oct231711056234
958274247670
1020655135900
11883a316353
124005443790
131c42339509
14ddd301c60
1580d52a400
hex4cf245c9c

20655135900 has 432 divisors, whose sum is σ = 75575718400. Its totient is φ = 4621432320.

The previous prime is 20655135863. The next prime is 20655135967. The reversal of 20655135900 is 953155602.

20655135900 is a `hidden beast` number, since 2 + 0 + 6 + 55 + 13 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 90196986 + ... + 90197214.

Almost surely, 220655135900 is an apocalyptic number.

20655135900 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 20655135900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37787859200).

20655135900 is an abundant number, since it is smaller than the sum of its proper divisors (54920582500).

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

20655135900 is a wasteful number, since it uses less digits than its factorization.

20655135900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 20655135900 in words is "twenty billion, six hundred fifty-five million, one hundred thirty-five thousand, nine hundred".