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56655004329 = 32711773105761
BaseRepresentation
bin110100110000111001…
…101100001010101001
312102020101101102022200
4310300321230022221
51412012140114304
642005453210413
74043651406510
oct646071541251
9172211342280
1056655004329
1122033300330
12ab91790a09
13545b752501
142a56523677
151718c62e39
hexd30e6c2a9

56655004329 has 48 divisors (see below), whose sum is σ = 102161015424. Its totient is φ = 29392819200.

The previous prime is 56655004313. The next prime is 56655004333. The reversal of 56655004329 is 92340055665.

56655004329 is a `hidden beast` number, since 5 + 66 + 550 + 0 + 4 + 32 + 9 = 666.

It is not a de Polignac number, because 56655004329 - 24 = 56655004313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56655004309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482809 + ... + 588569.

It is an arithmetic number, because the mean of its divisors is an integer number (2128354488).

Almost surely, 256655004329 is an apocalyptic number.

It is an amenable number.

56655004329 is a deficient number, since it is larger than the sum of its proper divisors (45506011095).

56655004329 is a wasteful number, since it uses less digits than its factorization.

56655004329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106558 (or 106555 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 56655004329 in words is "fifty-six billion, six hundred fifty-five million, four thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 773 2319 5411 6957 8503 16233 25509 48699 59521 76527 105761 178563 317283 535689 740327 951849 1163371 2220981 3490113 6662943 8143597 10470339 24430791 73292373 81753253 245259759 572272771 735779277 899285783 1716818313 2697857349 5150454939 6295000481 8093572047 18885001443 56655004329