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2119283712 = 210327213192
BaseRepresentation
bin111111001010001…
…1011010000000000
312110200210202201100
41332110123100000
513320014034322
6550143334400
7103342420500
oct17624332000
95420722640
102119283712
1199830a247
124b18b1400
1327a0b0240
14161669a00
15c60c5dac
hex7e51b400

2119283712 has 594 divisors, whose sum is σ = 8090755218. Its totient is φ = 529514496.

The previous prime is 2119283711. The next prime is 2119283723. The reversal of 2119283712 is 2173829112.

It can be written as a sum of positive squares in only one way, i.e., 1467196416 + 652087296 = 38304^2 + 25536^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119283711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 111541239 + ... + 111541257.

Almost surely, 22119283712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045377609).

2119283712 is an abundant number, since it is smaller than the sum of its proper divisors (5971471506).

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

2119283712 is a wasteful number, since it uses less digits than its factorization.

2119283712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 44 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 2119283712 is about 46035.6786851242. The cubic root of 2119283712 is about 1284.4869611884.

The spelling of 2119283712 in words is "two billion, one hundred nineteen million, two hundred eighty-three thousand, seven hundred twelve".