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57054244245075 = 33527112115202487
BaseRepresentation
bin11001111100011111110011…
…11101100000111001010011
321111000022222101020101212000
430332033321331200321103
524434234043011320300
6321202205153205043
715006014234233410
oct1476177175407123
9244008871211760
1057054244245075
11171a7629525640
1264955b2b60783
1325ab2661b8b2c
141013623b03107
1568e1a2622c00
hex33e3f9f60e53

57054244245075 has 192 divisors, whose sum is σ = 131292484362240. Its totient is φ = 23598476496000.

The previous prime is 57054244244941. The next prime is 57054244245079.

57054244245075 is a `hidden beast` number, since 5 + 7 + 0 + 542 + 4 + 4 + 24 + 5 + 0 + 75 = 666.

57054244245075 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57054244245075 - 28 = 57054244244819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57054244245079) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8365482 + ... + 13567968.

It is an arithmetic number, because the mean of its divisors is an integer number (683815022720).

Almost surely, 257054244245075 is an apocalyptic number.

57054244245075 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57054244245075 is an abundant number, since it is smaller than the sum of its proper divisors (74238240117165).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57054244245075 is a wasteful number, since it uses less digits than its factorization.

57054244245075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202735 (or 5202724 counting only the distinct ones).

The product of its (nonzero) digits is 31360000, while the sum is 54.

The spelling of 57054244245075 in words is "fifty-seven trillion, fifty-four billion, two hundred forty-four million, two hundred forty-five thousand, seventy-five".