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56006435133 = 32114113798087
BaseRepresentation
bin110100001010001111…
…100110000100111101
312100120011222200122100
4310022033212010331
51404200121411013
641421244135313
74021614562305
oct641217460475
9170504880570
1056006435133
1121830199730
12aa30537539
13538727c85c
1429d4336605
1516cbd4e473
hexd0a3e613d

56006435133 has 24 divisors (see below), whose sum is σ = 90405072576. Its totient is φ = 33115406400.

The previous prime is 56006435099. The next prime is 56006435159. The reversal of 56006435133 is 33153460065.

56006435133 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 643 + 5 + 1 + 3 + 3 = 666.

56006435133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56006435133 - 214 = 56006418749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56006435333) 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, 6894985 + ... + 6903102.

It is an arithmetic number, because the mean of its divisors is an integer number (3766878024).

Almost surely, 256006435133 is an apocalyptic number.

It is an amenable number.

56006435133 is a deficient number, since it is larger than the sum of its proper divisors (34398637443).

56006435133 is a wasteful number, since it uses less digits than its factorization.

56006435133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13798145 (or 13798142 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 56006435133 its reverse (33153460065), we get a palindrome (89159895198).

The spelling of 56006435133 in words is "fifty-six billion, six million, four hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 13798087 41394261 124182783 151778957 455336871 565721567 1366010613 1697164701 5091494103 6222937237 18668811711 56006435133