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40876846270177 is a prime number
BaseRepresentation
bin10010100101101011000011…
…11001101100011011100001
312100201210021200212202021211
421102311201321230123201
520324211240121121202
6222534321450550121
711416153233261541
oct1122654171543341
9170653250782254
1040876846270177
111202a856075a65
124702259138341
1319a689318ac08
14a146427d7321
154ad4796be1d7
hex252d61e6c6e1

40876846270177 has 2 divisors, whose sum is σ = 40876846270178. Its totient is φ = 40876846270176.

The previous prime is 40876846270079. The next prime is 40876846270181. The reversal of 40876846270177 is 77107264867804.

40876846270177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28168505374801 + 12708340895376 = 5307401^2 + 3564876^2 .

It is a cyclic number.

It is not a de Polignac number, because 40876846270177 - 219 = 40876845745889 is a prime.

It is a super-2 number, since 2×408768462701772 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40876846270187) 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, 20438423135088 + 20438423135089.

It is an arithmetic number, because the mean of its divisors is an integer number (20438423135089).

Almost surely, 240876846270177 is an apocalyptic number.

It is an amenable number.

40876846270177 is a deficient number, since it is larger than the sum of its proper divisors (1).

40876846270177 is an equidigital number, since it uses as much as digits as its factorization.

40876846270177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 177020928, while the sum is 67.

The spelling of 40876846270177 in words is "forty trillion, eight hundred seventy-six billion, eight hundred forty-six million, two hundred seventy thousand, one hundred seventy-seven".