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40382545961 is a prime number
BaseRepresentation
bin100101100110111111…
…001100000000101001
310212020022212212220102
4211212333030000221
51130200412432321
630315042035145
72626500656102
oct454677140051
9125208785812
1040382545961
111614299252a
1279b0048ab5
133a673c2514
141d5130b3a9
1510b539dc0b
hex966fcc029

40382545961 has 2 divisors, whose sum is σ = 40382545962. Its totient is φ = 40382545960.

The previous prime is 40382545921. The next prime is 40382545967. The reversal of 40382545961 is 16954528304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29491536361 + 10891009600 = 171731^2 + 104360^2 .

It is a cyclic number.

It is not a de Polignac number, because 40382545961 - 218 = 40382283817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40382545967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20191272980 + 20191272981.

It is an arithmetic number, because the mean of its divisors is an integer number (20191272981).

Almost surely, 240382545961 is an apocalyptic number.

It is an amenable number.

40382545961 is a deficient number, since it is larger than the sum of its proper divisors (1).

40382545961 is an equidigital number, since it uses as much as digits as its factorization.

40382545961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 40382545961 in words is "forty billion, three hundred eighty-two million, five hundred forty-five thousand, nine hundred sixty-one".