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2020393393920 = 28345112377023
BaseRepresentation
bin11101011001101000110…
…101001001111100000000
321011010222200121121020000
4131121220311021330000
5231100231202101140
64144053402120000
7265653142331016
oct35315065117400
97133880547200
102020393393920
11709931443550
122876957b0000
131186a35a9775
146db050da8b6
153784d554a30
hex1d668d49f00

2020393393920 has 720 divisors, whose sum is σ = 8229549791232. Its totient is φ = 468490936320.

The previous prime is 2020393393903. The next prime is 2020393393973. The reversal of 2020393393920 is 293933930202.

It is a happy number.

2020393393920 is a `hidden beast` number, since 20 + 203 + 9 + 3 + 39 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26192529 + ... + 26269551.

Almost surely, 22020393393920 is an apocalyptic number.

2020393393920 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 2020393393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114774895616).

2020393393920 is an abundant number, since it is smaller than the sum of its proper divisors (6209156397312).

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

2020393393920 is a wasteful number, since it uses less digits than its factorization.

2020393393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77090 (or 77067 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 2020393393920 in words is "two trillion, twenty billion, three hundred ninety-three million, three hundred ninety-three thousand, nine hundred twenty".