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20085423680 = 2657471071783
BaseRepresentation
bin10010101101001011…
…110011111001000000
31220211210021020111202
4102231023303321000
5312113332024210
613121020200332
71310510166350
oct225513637100
956753236452
1020085423680
118577775103
123a866990a8
131b812b68aa
14d877a0b60
157c84e19a5
hex4ad2f3e40

20085423680 has 224 divisors, whose sum is σ = 56377368576. Its totient is φ = 6673176576.

The previous prime is 20085423679. The next prime is 20085423829. The reversal of 20085423680 is 8632458002.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 11264069 + ... + 11265851.

Almost surely, 220085423680 is an apocalyptic number.

20085423680 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 20085423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28188684288).

20085423680 is an abundant number, since it is smaller than the sum of its proper divisors (36291944896).

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

20085423680 is a wasteful number, since it uses less digits than its factorization.

20085423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 20085423680 in words is "twenty billion, eighty-five million, four hundred twenty-three thousand, six hundred eighty".