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6311296296 = 2332412137973
BaseRepresentation
bin1011110000010111…
…01011110100101000
3121021211211001220200
411320023223310220
5100411142440141
62522132552200
7312254063514
oct57013536450
917254731820
106311296296
112749620358
121281782660
13797720466
1443c2c3144
1526e128ab6
hex1782ebd28

6311296296 has 48 divisors (see below), whose sum is σ = 17510007060. Its totient is φ = 2052453120.

The previous prime is 6311296283. The next prime is 6311296307. The reversal of 6311296296 is 6926921136.

6311296296 is a `hidden beast` number, since 6 + 3 + 1 + 12 + 9 + 629 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6254595396 + 56700900 = 79086^2 + 7530^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1066035 + ... + 1071938.

Almost surely, 26311296296 is an apocalyptic number.

It is an amenable number.

6311296296 is an abundant number, since it is smaller than the sum of its proper divisors (11198710764).

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

6311296296 is a wasteful number, since it uses less digits than its factorization.

6311296296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138026 (or 2138019 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 6311296296 is about 79443.6674380029. The cubic root of 6311296296 is about 1848.0179694098.

The spelling of 6311296296 in words is "six billion, three hundred eleven million, two hundred ninety-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 2137973 4275946 6413919 8551892 12827838 17103784 19241757 25655676 38483514 51311352 76967028 87656893 153934056 175313786 262970679 350627572 525941358 701255144 788912037 1051882716 1577824074 2103765432 3155648148 6311296296