Search a number
-
+
20303576330240 = 21257199711691
BaseRepresentation
bin1001001110111010010110…
…11101000111000000000000
32122220000002010212221012102
410213131023131013000000
510130123211020031430
6111103200104245532
74163612356164110
oct447351335070000
978800063787172
1020303576330240
116518775586165
12233ab767708a8
13b43808025b88
145029ac34b040
152532214cd345
hex12774b747000

20303576330240 has 208 divisors, whose sum is σ = 55962904051200. Its totient is φ = 6926235402240.

The previous prime is 20303576330221. The next prime is 20303576330273. The reversal of 20303576330240 is 4203367530302.

It is a junction number, because it is equal to n+sod(n) for n = 20303576330194 and 20303576330203.

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 15 ways as a sum of consecutive naturals, for example, 28172795 + ... + 28884485.

Almost surely, 220303576330240 is an apocalyptic number.

20303576330240 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 20303576330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27981452025600).

20303576330240 is an abundant number, since it is smaller than the sum of its proper divisors (35659327720960).

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

20303576330240 is an equidigital number, since it uses as much as digits as its factorization.

20303576330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711926 (or 711904 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 38.

The spelling of 20303576330240 in words is "twenty trillion, three hundred three billion, five hundred seventy-six million, three hundred thirty thousand, two hundred forty".