Search a number
-
+
2020589928000 = 26335372397599
BaseRepresentation
bin11101011001110100100…
…010110111111001000000
321011011111101102120022000
4131121310202313321000
5231101132010144000
64144125102344000
7265661050001460
oct35316442677100
97134441376260
102020589928000
11709a22379506
1228772b58b000
1311870521c317
146db23259ba0
1537860927000
hex1d6748b7e40

2020589928000 has 1792 divisors, whose sum is σ = 8946782208000. Its totient is φ = 436484505600.

The previous prime is 2020589927987. The next prime is 2020589928043. The reversal of 2020589928000 is 8299850202.

2020589928000 is a `hidden beast` number, since 20 + 20 + 589 + 9 + 28 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3373271701 + ... + 3373272299.

It is an arithmetic number, because the mean of its divisors is an integer number (4992624000).

Almost surely, 22020589928000 is an apocalyptic number.

2020589928000 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 2020589928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473391104000).

2020589928000 is an abundant number, since it is smaller than the sum of its proper divisors (6926192280000).

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

2020589928000 is a wasteful number, since it uses less digits than its factorization.

2020589928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2020589928000 in words is "two trillion, twenty billion, five hundred eighty-nine million, nine hundred twenty-eight thousand".