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2972179368 = 233253778873
BaseRepresentation
bin1011000100100111…
…1101101110101000
321200010200100121100
42301021331232220
522041334214433
61210532041400
7133440051654
oct26111755650
97603610540
102972179368
111295799394
126ab463260
133849c3522
14202a43a64
15125deab13
hexb127dba8

2972179368 has 48 divisors (see below), whose sum is σ = 8201543220. Its totient is φ = 972032256.

The previous prime is 2972179363. The next prime is 2972179381. The reversal of 2972179368 is 8639712792.

It can be written as a sum of positive squares in 2 ways, for example, as 2950445124 + 21734244 = 54318^2 + 4662^2 .

It is not an unprimeable number, because it can be changed into a prime (2972179363) by changing a digit.

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, 385621 + ... + 393252.

Almost surely, 22972179368 is an apocalyptic number.

It is an amenable number.

2972179368 is an abundant number, since it is smaller than the sum of its proper divisors (5229363852).

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

2972179368 is a wasteful number, since it uses less digits than its factorization.

2972179368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778938 (or 778931 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 2972179368 is about 54517.6977503636. The cubic root of 2972179368 is about 1437.7774626405. Note that the first 3 decimals are identical.

The spelling of 2972179368 in words is "two billion, nine hundred seventy-two million, one hundred seventy-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 778873 1557746 2336619 3115492 4673238 6230984 7009857 9346476 14019714 18692952 28039428 41280269 56078856 82560538 123840807 165121076 247681614 330242152 371522421 495363228 743044842 990726456 1486089684 2972179368