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57355378773771 = 31312772942939133
BaseRepresentation
bin11010000101010000101101…
…11110100100111100001011
321112002010020221222110101110
431002220112332210330023
530004202303431230041
6321552410335221403
715036534516421641
oct1502502676447413
9245063227873343
1057355378773771
1117303309080061
126523a34377863
1326007870977a0
14102402d7b1191
15696e296d8516
hex342a16fa4f0b

57355378773771 has 32 divisors (see below), whose sum is σ = 82425840356160. Its totient is φ = 35265878613504.

The previous prime is 57355378773739. The next prime is 57355378773779. The reversal of 57355378773771 is 17737787355375.

57355378773771 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 57355378773771 - 25 = 57355378773739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57355378773693 and 57355378773702.

It is not an unprimeable number, because it can be changed into a prime (57355378773779) 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 31 ways as a sum of consecutive naturals, for example, 1465632921 + ... + 1465672053.

It is an arithmetic number, because the mean of its divisors is an integer number (2575807511130).

Almost surely, 257355378773771 is an apocalyptic number.

57355378773771 is a deficient number, since it is larger than the sum of its proper divisors (25070461582389).

57355378773771 is a wasteful number, since it uses less digits than its factorization.

57355378773771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69855.

The product of its digits is 3176523000, while the sum is 75.

The spelling of 57355378773771 in words is "fifty-seven trillion, three hundred fifty-five billion, three hundred seventy-eight million, seven hundred seventy-three thousand, seven hundred seventy-one".

Divisors: 1 3 13 39 1277 3831 16601 29429 39133 49803 88287 117399 382577 508729 1147731 1526187 37580833 49972841 112742499 149918523 488550829 649646933 1151645057 1465652487 1948940799 3454935171 14971385741 44914157223 1470650737789 4411952213367 19118459591257 57355378773771