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20116656000 = 273253722851
BaseRepresentation
bin10010101111000010…
…111100111110000000
31220220222001000012100
4102233002330332000
5312144330443000
613124053430400
71311336516600
oct225702747600
956828030170
1020116656000
118593367441
123a9503b400
131b8790075c
14d8b9b0c00
157cb110a00
hex4af0bcf80

20116656000 has 576 divisors, whose sum is σ = 84068346960. Its totient is φ = 4596480000.

The previous prime is 20116655983. The next prime is 20116656031. The reversal of 20116656000 is 65661102.

It is a happy number.

20116656000 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 6 + 656 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 7054575 + ... + 7057425.

Almost surely, 220116656000 is an apocalyptic number.

20116656000 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 20116656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42034173480).

20116656000 is an abundant number, since it is smaller than the sum of its proper divisors (63951690960).

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

20116656000 is a wasteful number, since it uses less digits than its factorization.

20116656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 20116656000 in words is "twenty billion, one hundred sixteen million, six hundred fifty-six thousand".