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41000642436577 is a prime number
BaseRepresentation
bin10010101001010001101001…
…01110100101110111100001
312101011121211021012121002211
421110220310232211313201
520333223303430432302
6223111233552242121
711431125066315505
oct1124506456456741
9171147737177084
1041000642436577
111207830285308a
124722248240341
1319b5461999795
14a1a627d94305
154b17c2a84ad7
hex254a34ba5de1

41000642436577 has 2 divisors, whose sum is σ = 41000642436578. Its totient is φ = 41000642436576.

The previous prime is 41000642436563. The next prime is 41000642436661. The reversal of 41000642436577 is 77563424600014.

41000642436577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36448218519696 + 4552423916881 = 6037236^2 + 2133641^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41000642436577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41000642436577.

It is not a weakly prime, because it can be changed into another prime (41000642436547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20500321218288 + 20500321218289.

It is an arithmetic number, because the mean of its divisors is an integer number (20500321218289).

Almost surely, 241000642436577 is an apocalyptic number.

It is an amenable number.

41000642436577 is a deficient number, since it is larger than the sum of its proper divisors (1).

41000642436577 is an equidigital number, since it uses as much as digits as its factorization.

41000642436577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 41000642436577 in words is "forty-one trillion, six hundred forty-two million, four hundred thirty-six thousand, five hundred seventy-seven".