Search a number
-
+
2063318832000 = 27355317193153
BaseRepresentation
bin11110000001100111011…
…000101101001110000000
321022020210020101210100000
4132001213120231032000
5232301134110111000
64215513043200000
7302032651460556
oct36014730551600
97266706353300
102063318832000
11726059765508
12293a75376000
1311c75476847a
1471c18021bd6
1538a11ca3000
hex1e06762d380

2063318832000 has 3072 divisors, whose sum is σ = 9007668633600. Its totient is φ = 465813504000.

The previous prime is 2063318831941. The next prime is 2063318832037. The reversal of 2063318832000 is 2388133602.

2063318832000 is a `hidden beast` number, since 2 + 0 + 63 + 318 + 83 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38930543974 + ... + 38930544026.

It is an arithmetic number, because the mean of its divisors is an integer number (2932183800).

Almost surely, 22063318832000 is an apocalyptic number.

2063318832000 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 2063318832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503834316800).

2063318832000 is an abundant number, since it is smaller than the sum of its proper divisors (6944349801600).

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

2063318832000 is a wasteful number, since it uses less digits than its factorization.

2063318832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2063318832000 in words is "two trillion, sixty-three billion, three hundred eighteen million, eight hundred thirty-two thousand".