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40766640221 is a prime number
BaseRepresentation
bin100101111101111000…
…011001000001011101
310220020002121220011202
4211331320121001131
51131442224441341
630421122325245
72642143503326
oct457570310135
9126202556152
1040766640221
111631a7841aa
127a987b9825
133ac8b55128
141d8a33144d
1510d8e6e79b
hex97de1905d

40766640221 has 2 divisors, whose sum is σ = 40766640222. Its totient is φ = 40766640220.

The previous prime is 40766640133. The next prime is 40766640281. The reversal of 40766640221 is 12204666704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21458148196 + 19308492025 = 146486^2 + 138955^2 .

It is a cyclic number.

It is not a de Polignac number, because 40766640221 - 210 = 40766639197 is a prime.

It is a super-3 number, since 3×407666402213 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40766640281) 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, 20383320110 + 20383320111.

It is an arithmetic number, because the mean of its divisors is an integer number (20383320111).

Almost surely, 240766640221 is an apocalyptic number.

It is an amenable number.

40766640221 is a deficient number, since it is larger than the sum of its proper divisors (1).

40766640221 is an equidigital number, since it uses as much as digits as its factorization.

40766640221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 40766640221 in words is "forty billion, seven hundred sixty-six million, six hundred forty thousand, two hundred twenty-one".