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40657842593 is a prime number
BaseRepresentation
bin100101110111011001…
…010111000110100001
310212221111220101212222
4211313121113012201
51131231401430333
630402234400425
72636352650144
oct456731270641
9125844811788
1040657842593
1116274323a05
127a68290115
133aac451134
141d79ad005b
1510ce62d298
hex9776571a1

40657842593 has 2 divisors, whose sum is σ = 40657842594. Its totient is φ = 40657842592.

The previous prime is 40657842523. The next prime is 40657842619. The reversal of 40657842593 is 39524875604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40504380049 + 153462544 = 201257^2 + 12388^2 .

It is a cyclic number.

It is not a de Polignac number, because 40657842593 - 210 = 40657841569 is a prime.

It is not a weakly prime, because it can be changed into another prime (40657842523) 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, 20328921296 + 20328921297.

It is an arithmetic number, because the mean of its divisors is an integer number (20328921297).

Almost surely, 240657842593 is an apocalyptic number.

It is an amenable number.

40657842593 is a deficient number, since it is larger than the sum of its proper divisors (1).

40657842593 is an equidigital number, since it uses as much as digits as its factorization.

40657842593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7257600, while the sum is 53.

The spelling of 40657842593 in words is "forty billion, six hundred fifty-seven million, eight hundred forty-two thousand, five hundred ninety-three".