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2020206352320 = 2632513160133703
BaseRepresentation
bin11101011001011101101…
…011101001011111000000
321011010111122122220101100
4131121131223221133000
5231044340311233240
64144023041134400
7265645411444152
oct35313553513700
97133448586340
102020206352320
11709845901412
1228764302a400
1311867390b770
146dac832cad2
153783be09e30
hex1d65dae97c0

2020206352320 has 336 divisors, whose sum is σ = 7488077268672. Its totient is φ = 496956211200.

The previous prime is 2020206352289. The next prime is 2020206352343. The reversal of 2020206352320 is 232536020202.

2020206352320 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 2 + 0 + 635 + 2 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59924589 + ... + 59958291.

It is an arithmetic number, because the mean of its divisors is an integer number (22285944252).

Almost surely, 22020206352320 is an apocalyptic number.

2020206352320 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 2020206352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744038634336).

2020206352320 is an abundant number, since it is smaller than the sum of its proper divisors (5467870916352).

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

2020206352320 is a wasteful number, since it uses less digits than its factorization.

2020206352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35340 (or 35327 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 2020206352320 in words is "two trillion, twenty billion, two hundred six million, three hundred fifty-two thousand, three hundred twenty".