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7630535133 = 3213415330013
BaseRepresentation
bin1110001101101000…
…01011100111011101
3201200210012100101100
413012310023213131
5111111404111013
63301100503313
7360043323054
oct70664134735
921623170340
107630535133
113266268a91
12158b54ab39
13947b33260
145255b139b
152e9d69473
hex1c6d0b9dd

7630535133 has 48 divisors (see below), whose sum is σ = 12389058864. Its totient is φ = 4494597120.

The previous prime is 7630535093. The next prime is 7630535141. The reversal of 7630535133 is 3315350367.

7630535133 is a `hidden beast` number, since 7 + 630 + 5 + 3 + 5 + 13 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3557287449 + 4073247684 = 59643^2 + 63822^2 .

It is not a de Polignac number, because 7630535133 - 218 = 7630272989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7630535333) 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, 239235 + ... + 269247.

It is an arithmetic number, because the mean of its divisors is an integer number (258105393).

Almost surely, 27630535133 is an apocalyptic number.

It is an amenable number.

7630535133 is a deficient number, since it is larger than the sum of its proper divisors (4758523731).

7630535133 is a wasteful number, since it uses less digits than its factorization.

7630535133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30126 (or 30123 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 36.

The square root of 7630535133 is about 87352.9343124774. The cubic root of 7630535133 is about 1968.7247394249.

The spelling of 7630535133 in words is "seven billion, six hundred thirty million, five hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 41 53 117 123 159 369 477 533 689 1599 2067 2173 4797 6201 6519 19557 28249 30013 84747 90039 254241 270117 390169 1170507 1230533 1590689 3511521 3691599 4772067 11074797 14316201 15996929 20678957 47990787 62036871 65218249 143972361 186110613 195654747 586964241 847837237 2543511711 7630535133