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40593074957837 is a prime number
BaseRepresentation
bin10010011101011010011111…
…10100000010111000001101
312022201122211012002110211122
421032231033310002320031
520310034104142122322
6222200111242530325
711356516145025323
oct1116551764027015
9168648735073748
1040593074957837
1111a30476610a26
1246772628069a5
131985bab60538c
14a04a02b55d13
154a5dbbb2a442
hex24eb4fd02e0d

40593074957837 has 2 divisors, whose sum is σ = 40593074957838. Its totient is φ = 40593074957836.

The previous prime is 40593074957819. The next prime is 40593074957843. The reversal of 40593074957837 is 73875947039504.

40593074957837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20506669208041 + 20086405749796 = 4528429^2 + 4481786^2 .

It is a cyclic number.

It is not a de Polignac number, because 40593074957837 - 214 = 40593074941453 is a prime.

It is a super-3 number, since 3×405930749578373 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40593074957857) 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, 20296537478918 + 20296537478919.

It is an arithmetic number, because the mean of its divisors is an integer number (20296537478919).

Almost surely, 240593074957837 is an apocalyptic number.

It is an amenable number.

40593074957837 is a deficient number, since it is larger than the sum of its proper divisors (1).

40593074957837 is an equidigital number, since it uses as much as digits as its factorization.

40593074957837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 800150400, while the sum is 71.

The spelling of 40593074957837 in words is "forty trillion, five hundred ninety-three billion, seventy-four million, nine hundred fifty-seven thousand, eight hundred thirty-seven".