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40460646264593 is a prime number
BaseRepresentation
bin10010011001100011110100…
…11100101010111100010001
312022021000000000010211102012
421030301322130222330101
520300401400420431333
6222015210404232305
711344120350510542
oct1114617234527421
9168230000124365
1040460646264593
111198a29a0116a5
12465566469b695
131976565509969
149dc43ccbc4c9
154a271a973e48
hex24cc7a72af11

40460646264593 has 2 divisors, whose sum is σ = 40460646264594. Its totient is φ = 40460646264592.

The previous prime is 40460646264569. The next prime is 40460646264617. The reversal of 40460646264593 is 39546264606404.

40460646264593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (40460646264569) and next prime (40460646264617).

It can be written as a sum of positive squares in only one way, i.e., 38826769218769 + 1633877045824 = 6231113^2 + 1278232^2 .

It is a cyclic number.

It is not a de Polignac number, because 40460646264593 - 212 = 40460646260497 is a prime.

It is a super-2 number, since 2×404606462645932 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40460642264593) 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, 20230323132296 + 20230323132297.

It is an arithmetic number, because the mean of its divisors is an integer number (20230323132297).

Almost surely, 240460646264593 is an apocalyptic number.

It is an amenable number.

40460646264593 is a deficient number, since it is larger than the sum of its proper divisors (1).

40460646264593 is an equidigital number, since it uses as much as digits as its factorization.

40460646264593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 89579520, while the sum is 59.

The spelling of 40460646264593 in words is "forty trillion, four hundred sixty billion, six hundred forty-six million, two hundred sixty-four thousand, five hundred ninety-three".