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55657161324657 = 3211480953864497
BaseRepresentation
bin11001010011110101100010…
…10101000111100001110001
321022001202212021020121021200
430221322301111013201301
524243341331244342112
6314212314045441413
714503045225320504
oct1451726125074161
9238052767217250
1055657161324657
1116809084652422
1262aa892870269
1325095a8a52a69
14da5b6cab713b
15667b85627cdc
hex329eb1547871

55657161324657 has 12 divisors (see below), whose sum is σ = 80394379199940. Its totient is φ = 37104450340608.

The previous prime is 55657161324637. The next prime is 55657161324683. The reversal of 55657161324657 is 75642316175655.

55657161324657 is a `hidden beast` number, since 5 + 5 + 6 + 5 + 7 + 1 + 613 + 2 + 4 + 6 + 5 + 7 = 666.

55657161324657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30239924839056 + 25417236485601 = 5499084^2 + 5041551^2 .

It is not a de Polignac number, because 55657161324657 - 26 = 55657161324593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55657161324594 and 55657161324603.

It is not an unprimeable number, because it can be changed into a prime (55657161324607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25898968 + ... + 27965529.

It is an arithmetic number, because the mean of its divisors is an integer number (6699531599995).

Almost surely, 255657161324657 is an apocalyptic number.

It is an amenable number.

55657161324657 is a deficient number, since it is larger than the sum of its proper divisors (24737217875283).

55657161324657 is a wasteful number, since it uses less digits than its factorization.

55657161324657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53979312 (or 53979309 counting only the distinct ones).

The product of its digits is 158760000, while the sum is 63.

The spelling of 55657161324657 in words is "fifty-five trillion, six hundred fifty-seven billion, one hundred sixty-one million, three hundred twenty-four thousand, six hundred fifty-seven".

Divisors: 1 3 9 114809 344427 1033281 53864497 161593491 484780473 6184129036073 18552387108219 55657161324657