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41095139756856 = 233173137331359739
BaseRepresentation
bin10010101100000001101010…
…01101010000101100111000
312101111122201221120211211220
421112000311031100230320
520341300321234204411
6223222502505552040
711441011605302133
oct1126006515205470
9171448657524756
1041095139756856
1112104395054499
12473861b1a5620
1319c1341467903
14a210302a121a
154b3ea3b70b06
hex256035350b38

41095139756856 has 512 divisors, whose sum is σ = 116152786944000. Its totient is φ = 12052775116800.

The previous prime is 41095139756821. The next prime is 41095139756903. The reversal of 41095139756856 is 65865793159014.

41095139756856 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 55609119735 + ... + 55609120473.

It is an arithmetic number, because the mean of its divisors is an integer number (226860912000).

Almost surely, 241095139756856 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 41095139756856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58076393472000).

41095139756856 is an abundant number, since it is smaller than the sum of its proper divisors (75057647187144).

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

41095139756856 is a wasteful number, since it uses less digits than its factorization.

41095139756856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 69.

The spelling of 41095139756856 in words is "forty-one trillion, ninety-five billion, one hundred thirty-nine million, seven hundred fifty-six thousand, eight hundred fifty-six".