Search a number
-
+
2060288369280 = 273853789149
BaseRepresentation
bin11101111110110010110…
…000011010001010000000
321021221222001001100000000
4131332302300122022000
5232223432310304110
64214252230000000
7301564603121361
oct35766260321200
97257861040000
102060288369280
11724844088a69
1229336a4a6000
1311c39097946b
1471a0b769b68
15388d5be31c0
hex1dfb2c1a280

2060288369280 has 1152 divisors, whose sum is σ = 7724102490000. Its totient is φ = 525007650816.

The previous prime is 2060288369239. The next prime is 2060288369281. The reversal of 2060288369280 is 829638820602.

2060288369280 is a `hidden beast` number, since 2 + 0 + 602 + 8 + 8 + 3 + 6 + 9 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 577758090816 + 1482530278464 = 760104^2 + 1217592^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2060288369281) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 13827438646 + ... + 13827438794.

Almost surely, 22060288369280 is an apocalyptic number.

2060288369280 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 2060288369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862051245000).

2060288369280 is an abundant number, since it is smaller than the sum of its proper divisors (5663814120720).

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

2060288369280 is an frugal number, since it uses more digits than its factorization.

2060288369280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2060288369280 in words is "two trillion, sixty billion, two hundred eighty-eight million, three hundred sixty-nine thousand, two hundred eighty".