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40185876193 is a prime number
BaseRepresentation
bin100101011011010000…
…111100111011100001
310211201121211000200221
4211123100330323201
51124300041014233
630243334443041
72621562211621
oct453320747341
9124647730627
1040185876193
1116051974631
127956203481
133a35732c88
141d33154881
1510a2ea142d
hex95b43cee1

40185876193 has 2 divisors, whose sum is σ = 40185876194. Its totient is φ = 40185876192.

The previous prime is 40185876191. The next prime is 40185876209. The reversal of 40185876193 is 39167858104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24742346209 + 15443529984 = 157297^2 + 124272^2 .

It is a cyclic number.

It is not a de Polignac number, because 40185876193 - 21 = 40185876191 is a prime.

It is a super-2 number, since 2×401858761932 (a number of 22 digits) contains 22 as substring.

Together with 40185876191, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 40185876193.

It is not a weakly prime, because it can be changed into another prime (40185876191) 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 as a sum of consecutive naturals, namely, 20092938096 + 20092938097.

It is an arithmetic number, because the mean of its divisors is an integer number (20092938097).

Almost surely, 240185876193 is an apocalyptic number.

It is an amenable number.

40185876193 is a deficient number, since it is larger than the sum of its proper divisors (1).

40185876193 is an equidigital number, since it uses as much as digits as its factorization.

40185876193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 40185876193 in words is "forty billion, one hundred eighty-five million, eight hundred seventy-six thousand, one hundred ninety-three".