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4162041333 = 3319127193331
BaseRepresentation
bin1111100000010011…
…1011010111110101
3101202001121121101000
43320010323113311
532010440310313
61524554553513
7205065524202
oct37004732765
911661547330
104162041333
11184640028a
12981a38899
13514378368
142b6a94ca9
151955d2673
hexf813b5f5

4162041333 has 64 divisors (see below), whose sum is σ = 6595379200. Its totient is φ = 2586608640.

The previous prime is 4162041313. The next prime is 4162041341. The reversal of 4162041333 is 3331402614.

4162041333 is a `hidden beast` number, since 4 + 1 + 620 + 4 + 1 + 3 + 33 = 666.

It is not a de Polignac number, because 4162041333 - 217 = 4161910261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4162041297 and 4162041306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4162041313) 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 63 ways as a sum of consecutive naturals, for example, 12573978 + ... + 12574308.

It is an arithmetic number, because the mean of its divisors is an integer number (103052800).

Almost surely, 24162041333 is an apocalyptic number.

It is an amenable number.

4162041333 is a deficient number, since it is larger than the sum of its proper divisors (2433337867).

4162041333 is a wasteful number, since it uses less digits than its factorization.

4162041333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4162041333 is about 64513.8848078458. The cubic root of 4162041333 is about 1608.5533258084.

Adding to 4162041333 its reverse (3331402614), we get a palindrome (7493443947).

The spelling of 4162041333 in words is "four billion, one hundred sixty-two million, forty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 19 27 57 127 171 193 331 381 513 579 993 1143 1737 2413 2979 3429 3667 5211 6289 7239 8937 11001 18867 21717 24511 33003 42037 56601 63883 65151 73533 99009 126111 169803 191649 220599 378333 465709 574947 661797 798703 1134999 1213777 1397127 1724841 2396109 3641331 4191381 7188327 8113141 10923993 12574143 21564981 24339423 32771979 73018269 154149679 219054807 462449037 1387347111 4162041333