Search a number
-
+
2085621720000 = 263547133161101
BaseRepresentation
bin11110010110011000101…
…111011110001111000000
321101101100120012220000220
4132112120233132033000
5233132323130020000
64234042115343040
7303452436054630
oct36263057361700
97341316186026
102085621720000
117345640a8355
1229825a5b1a80
1312189a289910
1472d320c86c0
15393b9cb11a0
hex1e598bde3c0

2085621720000 has 2240 divisors, whose sum is σ = 8992379117568. Its totient is φ = 414720000000.

The previous prime is 2085621719957. The next prime is 2085621720029. The reversal of 2085621720000 is 271265802.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-5 number, since 5×20856217200005 (a number of 63 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20649719950 + ... + 20649720050.

Almost surely, 22085621720000 is an apocalyptic number.

2085621720000 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 2085621720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496189558784).

2085621720000 is an abundant number, since it is smaller than the sum of its proper divisors (6906757397568).

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

2085621720000 is a wasteful number, since it uses less digits than its factorization.

2085621720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 2085621720000 its reverse (271265802), we get a palindrome (2085892985802).

The spelling of 2085621720000 in words is "two trillion, eighty-five billion, six hundred twenty-one million, seven hundred twenty thousand".