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4050542133 = 3411109179233
BaseRepresentation
bin1111000101101110…
…0101111000110101
3101110021210212020000
43301123211320311
531243414322013
61505533101513
7202243016511
oct36133457065
911407725200
104050542133
111799475290
12950627899
134c72397c1
142a5d4d141
1518a90a973
hexf16e5e35

4050542133 has 80 divisors (see below), whose sum is σ = 6727406400. Its totient is φ = 2408382720.

The previous prime is 4050542071. The next prime is 4050542141. The reversal of 4050542133 is 3312450504.

4050542133 is a `hidden beast` number, since 40 + 50 + 542 + 1 + 33 = 666.

It is not a de Polignac number, because 4050542133 - 213 = 4050533941 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 4050542097 and 4050542106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4050542183) 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 79 ways as a sum of consecutive naturals, for example, 17384185 + ... + 17384417.

It is an arithmetic number, because the mean of its divisors is an integer number (84092580).

Almost surely, 24050542133 is an apocalyptic number.

It is an amenable number.

4050542133 is a deficient number, since it is larger than the sum of its proper divisors (2676864267).

4050542133 is a wasteful number, since it uses less digits than its factorization.

4050542133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4050542133 is about 63643.8695633759. The cubic root of 4050542133 is about 1594.0589743386.

Adding to 4050542133 its reverse (3312450504), we get a palindrome (7362992637).

The spelling of 4050542133 in words is "four billion, fifty million, five hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 33 81 99 109 179 233 297 327 537 699 891 981 1199 1611 1969 2097 2563 2943 3597 4833 5907 6291 7689 8829 10791 14499 17721 18873 19511 23067 25397 32373 41707 53163 58533 69201 76191 97119 125121 159489 175599 207603 214621 228573 279367 375363 458777 526797 643863 685719 838101 1126089 1376331 1580391 1931589 2057157 2514303 3378267 4128993 4546063 5794767 7542909 12386979 13638189 17384301 22628727 37160937 40914567 50006693 122743701 150020079 368231103 450060237 1350180711 4050542133