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2119313296 = 241726772
BaseRepresentation
bin111111001010010…
…0010011110010000
312110200212021022001
41332110202132100
513320021011141
6550144123344
7103342602652
oct17624423620
95420767261
102119313296
1199832a4a1
124b1906554
1327a0c0849
141616766d2
15c60cea31
hex7e522790

2119313296 has 45 divisors (see below), whose sum is σ = 4368369619. Its totient is φ = 995850752.

The previous prime is 2119313267. The next prime is 2119313299. The reversal of 2119313296 is 6923139112.

The square root of 2119313296 is 46036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1508234896 + 611078400 = 38836^2 + 24720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2119313299) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3130110 + ... + 3130786.

Almost surely, 22119313296 is an apocalyptic number.

2119313296 is the 46036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119313296

2119313296 is an abundant number, since it is smaller than the sum of its proper divisors (2249056323).

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

2119313296 is an frugal number, since it uses more digits than its factorization.

2119313296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 696 counting only the distinct ones).

The product of its digits is 17496, while the sum is 37.

The cubic root of 2119313296 is about 1284.4929380640.

The spelling of 2119313296 in words is "two billion, one hundred nineteen million, three hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 677 1156 1354 2312 2708 4624 5416 10832 11509 23018 46036 92072 184144 195653 391306 458329 782612 916658 1565224 1833316 3130448 3666632 7333264 7791593 15583186 31166372 62332744 124665488 132457081 264914162 529828324 1059656648 2119313296