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2066434872 = 2331314091607
BaseRepresentation
bin111101100101011…
…0100101100111000
312100000100202201220
41323022310230320
513213001403442
6541014512040
7102131256315
oct17312645470
95300322656
102066434872
119704a3117
12498065620
1326c168238
1415862dd0c
15c1636eec
hex7b2b4b38

2066434872 has 64 divisors (see below), whose sum is σ = 5221497600. Its totient is φ = 681457920.

The previous prime is 2066434823. The next prime is 2066434873. The reversal of 2066434872 is 2784346602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066434873) 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 15 ways as a sum of consecutive naturals, for example, 1285093 + ... + 1286699.

It is an arithmetic number, because the mean of its divisors is an integer number (81585900).

Almost surely, 22066434872 is an apocalyptic number.

It is an amenable number.

2066434872 is an abundant number, since it is smaller than the sum of its proper divisors (3155062728).

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

2066434872 is a wasteful number, since it uses less digits than its factorization.

2066434872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 2066434872 is about 45458.0561836953. The cubic root of 2066434872 is about 1273.7198217039.

It can be divided in two parts, 206 and 6434872, that added together give a triangular number (6435078 = T3587).

The spelling of 2066434872 in words is "two billion, sixty-six million, four hundred thirty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 409 524 786 818 1048 1227 1572 1607 1636 2454 3144 3214 3272 4821 4908 6428 9642 9816 12856 19284 38568 53579 107158 160737 210517 214316 321474 421034 428632 631551 642948 657263 842068 1263102 1285896 1314526 1684136 1971789 2526204 2629052 3943578 5052408 5258104 7887156 15774312 86101453 172202906 258304359 344405812 516608718 688811624 1033217436 2066434872