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56556738405 = 3351759941141
BaseRepresentation
bin110100101011000010…
…110101011101100101
312101222112110222211000
4310223002311131211
51411312011112110
641552023103513
74041346226106
oct645302653545
9171875428730
1056556738405
1121a92893722
12ab648a1b99
1354442980ab
142a474643ad
1517103021c0
hexd2b0b5765

56556738405 has 64 divisors (see below), whose sum is σ = 106640064000. Its totient is φ = 28341181440.

The previous prime is 56556738377. The next prime is 56556738437. The reversal of 56556738405 is 50483765565.

It is a happy number.

56556738405 is a `hidden beast` number, since 5 + 6 + 5 + 567 + 38 + 40 + 5 = 666.

It is not a de Polignac number, because 56556738405 - 212 = 56556734309 is a prime.

It is a super-3 number, since 3×565567384053 (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1354135 + ... + 1395275.

It is an arithmetic number, because the mean of its divisors is an integer number (1666251000).

Almost surely, 256556738405 is an apocalyptic number.

It is an amenable number.

56556738405 is a deficient number, since it is larger than the sum of its proper divisors (50083325595).

56556738405 is a wasteful number, since it uses less digits than its factorization.

56556738405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41771 (or 41765 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 56556738405 in words is "fifty-six billion, five hundred fifty-six million, seven hundred thirty-eight thousand, four hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 599 765 1797 2295 2995 5391 8985 10183 16173 26955 30549 41141 50915 80865 91647 123423 152745 205705 274941 370269 458235 617115 699397 1110807 1374705 1851345 2098191 3496985 5554035 6294573 10490955 18883719 24643459 31472865 73930377 94418595 123217295 221791131 369651885 418938803 665373393 1108955655 1256816409 2094694015 3326866965 3770449227 6284082045 11311347681 18852246135 56556738405