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41555872081152 = 2835111322271583
BaseRepresentation
bin10010111001011011110101…
…11111100110010100000000
312110010200222011201221200000
421130231322333212110000
520421322411223044102
6224214300514400000
711516212151401122
oct1134557277462400
9173120864657600
1041555872081152
1112271823480a40
1247b1981590000
131a2591817c400
14a3945a2a7212
154c0e6c22701c
hex25cb7afe6500

41555872081152 has 1296 divisors, whose sum is σ = 147517873671168. Its totient is φ = 11565502341120.

The previous prime is 41555872081133. The next prime is 41555872081159. The reversal of 41555872081152 is 25118027855514.

41555872081152 is a `hidden beast` number, since 4 + 1 + 5 + 5 + 587 + 2 + 0 + 8 + 1 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41555872081159) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26251339753 + ... + 26251341335.

It is an arithmetic number, because the mean of its divisors is an integer number (113825519808).

Almost surely, 241555872081152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41555872081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73758936835584).

41555872081152 is an abundant number, since it is smaller than the sum of its proper divisors (105962001590016).

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

41555872081152 is a wasteful number, since it uses less digits than its factorization.

41555872081152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 4480000, while the sum is 54.

The spelling of 41555872081152 in words is "forty-one trillion, five hundred fifty-five billion, eight hundred seventy-two million, eighty-one thousand, one hundred fifty-two".