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42364163371950 = 2335271967252561
BaseRepresentation
bin10011010000111101011001…
…11010001011001110101110
312112222222022101101220102000
421220132230322023032232
521023043301310400300
6230033454502113130
711631465314120460
oct1150365472131656
9175888271356360
1042364163371950
11125535a4879182
12490256071b7a6
131a83c00b0a7c4
14a66617880130
154d6ec83a2c00
hex2687ace8b3ae

42364163371950 has 576 divisors, whose sum is σ = 142565300236800. Its totient is φ = 9036502041600.

The previous prime is 42364163371949. The next prime is 42364163371963. The reversal of 42364163371950 is 5917336146324.

42364163371950 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 416 + 3 + 37 + 195 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 805973670 + ... + 806026230.

It is an arithmetic number, because the mean of its divisors is an integer number (247509201800).

Almost surely, 242364163371950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42364163371950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71282650118400).

42364163371950 is an abundant number, since it is smaller than the sum of its proper divisors (100201136864850).

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

42364163371950 is a wasteful number, since it uses less digits than its factorization.

42364163371950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52742 (or 52664 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 42364163371950 in words is "forty-two trillion, three hundred sixty-four billion, one hundred sixty-three million, three hundred seventy-one thousand, nine hundred fifty".