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9005469993 = 3213174527637
BaseRepresentation
bin10000110001100010…
…01001000100101001
3212020121101021102200
420120301021010221
5121420400014433
64045334250413
7436110142362
oct103061110451
925217337380
109005469993
113901397993
1218b3ab6a09
13b06946c90
1461603ab69
1537a90c613
hex218c49129

9005469993 has 24 divisors (see below), whose sum is σ = 14832542088. Its totient is φ = 5215836672.

The previous prime is 9005469983. The next prime is 9005470003. The reversal of 9005469993 is 3999645009.

9005469993 is a `hidden beast` number, since 9 + 0 + 0 + 546 + 9 + 9 + 93 = 666.

9005469993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9005469983) and next prime (9005470003).

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 9004681449 = 888^2 + 94893^2 .

It is not a de Polignac number, because 9005469993 - 29 = 9005469481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9005469983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2261830 + ... + 2265807.

It is an arithmetic number, because the mean of its divisors is an integer number (618022587).

Almost surely, 29005469993 is an apocalyptic number.

It is an amenable number.

9005469993 is a deficient number, since it is larger than the sum of its proper divisors (5827072095).

9005469993 is a wasteful number, since it uses less digits than its factorization.

9005469993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527673 (or 4527670 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 9005469993 is about 94897.1548203633. The cubic root of 9005469993 is about 2080.5051467417.

The spelling of 9005469993 in words is "nine billion, five million, four hundred sixty-nine thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 4527637 13582911 40748733 58859281 76969829 176577843 230909487 529733529 692728461 1000607777 3001823331 9005469993