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41541365075089 = 1119251892016031
BaseRepresentation
bin10010111001000000110100…
…10011110000110010010001
312110002022112011020200112011
421130200122103300302101
520421103203424400324
6224203501211102521
711515156516025605
oct1134403223606221
9173068464220464
1041541365075089
1112266659670630
1247aabb3141a41
131a24445804559
14a38881733505
154c08bd844c94
hex25c81a4f0c91

41541365075089 has 24 divisors (see below), whose sum is σ = 47837778197760. Its totient is φ = 35770339648800.

The previous prime is 41541365075087. The next prime is 41541365075101. The reversal of 41541365075089 is 98057056314514.

It is not a de Polignac number, because 41541365075089 - 21 = 41541365075087 is a prime.

It is a super-3 number, since 3×415413650750893 (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41541365075081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19597504 + ... + 21613534.

It is an arithmetic number, because the mean of its divisors is an integer number (1993240758240).

Almost surely, 241541365075089 is an apocalyptic number.

It is an amenable number.

41541365075089 is a deficient number, since it is larger than the sum of its proper divisors (6296413122671).

41541365075089 is a wasteful number, since it uses less digits than its factorization.

41541365075089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021269 (or 2021250 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 58.

The spelling of 41541365075089 in words is "forty-one trillion, five hundred forty-one billion, three hundred sixty-five million, seventy-five thousand, eighty-nine".

Divisors: 1 11 19 209 361 3971 5189 57079 98591 1084501 1873229 2016031 20605519 22176341 38304589 421350479 727787191 8005659101 10461184859 115073033449 198762512321 2186387635531 3776487734099 41541365075089