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11293906833 = 3211210370897
BaseRepresentation
bin10101000010010101…
…10101011110010001
31002011002110220121200
422201022311132101
5141112220004313
65104403341413
7546605424036
oct124112653621
932132426550
1011293906833
114876130400
122232381869
1310acaa0c11
14791d3938d
15461797b73
hex2a12b5791

11293906833 has 18 divisors (see below), whose sum is σ = 17931282642. Its totient is φ = 6844791360.

The previous prime is 11293906829. The next prime is 11293906853. The reversal of 11293906833 is 33860939211.

It can be written as a sum of positive squares in only one way, i.e., 9905822784 + 1388084049 = 99528^2 + 37257^2 .

It is not a de Polignac number, because 11293906833 - 22 = 11293906829 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11293906823) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5184360 + ... + 5186537.

It is an arithmetic number, because the mean of its divisors is an integer number (996182369).

Almost surely, 211293906833 is an apocalyptic number.

It is an amenable number.

11293906833 is a deficient number, since it is larger than the sum of its proper divisors (6637375809).

11293906833 is a wasteful number, since it uses less digits than its factorization.

11293906833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370925 (or 10370911 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 11293906833 in words is "eleven billion, two hundred ninety-three million, nine hundred six thousand, eight hundred thirty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 10370897 31112691 93338073 114079867 342239601 1026718803 1254878537 3764635611 11293906833