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2133317745 = 3251314832459
BaseRepresentation
bin111111100100111…
…1101100001110001
312111200012202210100
41333021331201301
513332112131440
6551404223013
7103602621156
oct17711754161
95450182710
102133317745
119a5225219
124b653aa69
1327cc84cc0
1416348022d
15c7449230
hex7f27d871

2133317745 has 48 divisors (see below), whose sum is σ = 3986498880. Its totient is φ = 1049113728.

The previous prime is 2133317741. The next prime is 2133317779. The reversal of 2133317745 is 5477133312.

2133317745 is a `hidden beast` number, since 213 + 331 + 77 + 45 = 666.

2133317745 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2133317745 - 22 = 2133317741 is a prime.

It is a super-2 number, since 2×21333177452 = 9102089202263770050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2133317741) 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 47 ways as a sum of consecutive naturals, for example, 866326 + ... + 868784.

It is an arithmetic number, because the mean of its divisors is an integer number (83052060).

Almost surely, 22133317745 is an apocalyptic number.

It is an amenable number.

2133317745 is a deficient number, since it is larger than the sum of its proper divisors (1853181135).

2133317745 is a wasteful number, since it uses less digits than its factorization.

2133317745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3963 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 2133317745 is about 46187.8527862034. The cubic root of 2133317745 is about 1287.3160439727.

The spelling of 2133317745 in words is "two billion, one hundred thirty-three million, three hundred seventeen thousand, seven hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1483 2459 4449 7377 7415 12295 13347 19279 22131 22245 31967 36885 57837 66735 95901 96395 110655 159835 173511 287703 289185 479505 867555 1438515 3646697 10940091 18233485 32820273 47407061 54700455 142221183 164101365 237035305 426663549 711105915 2133317745