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40165646401 is a prime number
BaseRepresentation
bin100101011010000011…
…110010000001000001
310211200012202020122101
4211122003302001001
51124224401141101
630241333110401
72621225234626
oct453203620101
9124605666571
1040165646401
11160415076a1
12794b488401
133a3149c09a
141d305aa34d
1510a1307401
hex95a0f2041

40165646401 has 2 divisors, whose sum is σ = 40165646402. Its totient is φ = 40165646400.

The previous prime is 40165646363. The next prime is 40165646441. The reversal of 40165646401 is 10464656104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35683210000 + 4482436401 = 188900^2 + 66951^2 .

It is a cyclic number.

It is not a de Polignac number, because 40165646401 - 211 = 40165644353 is a prime.

It is a super-2 number, since 2×401656464012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40165646441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20082823200 + 20082823201.

It is an arithmetic number, because the mean of its divisors is an integer number (20082823201).

Almost surely, 240165646401 is an apocalyptic number.

It is an amenable number.

40165646401 is a deficient number, since it is larger than the sum of its proper divisors (1).

40165646401 is an equidigital number, since it uses as much as digits as its factorization.

40165646401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 40165646401 in words is "forty billion, one hundred sixty-five million, six hundred forty-six thousand, four hundred one".