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438082337365133 is a prime number
BaseRepresentation
bin110001110011011101111111…
…0000110011101110010001101
32010110010021002022121210200012
41203212323332012131302031
5424410020111331141013
64151420125241443005
7161163255465366236
oct14346737606356215
92113107068553605
10438082337365133
1111764a748728a8a
12411733604a0465
1315a59caaa11546
147a2742660608d
15359a7d863e1a8
hex18e6efe19dc8d

438082337365133 has 2 divisors, whose sum is σ = 438082337365134. Its totient is φ = 438082337365132.

The previous prime is 438082337365129. The next prime is 438082337365157. The reversal of 438082337365133 is 331563733280834.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305757852880489 + 132324484484644 = 17485933^2 + 11503238^2 .

It is a cyclic number.

It is not a de Polignac number, because 438082337365133 - 22 = 438082337365129 is a prime.

It is a super-2 number, since 2×4380823373651332 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (438082337365433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 219041168682566 + 219041168682567.

It is an arithmetic number, because the mean of its divisors is an integer number (219041168682567).

Almost surely, 2438082337365133 is an apocalyptic number.

It is an amenable number.

438082337365133 is a deficient number, since it is larger than the sum of its proper divisors (1).

438082337365133 is an equidigital number, since it uses as much as digits as its factorization.

438082337365133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78382080, while the sum is 59.

The spelling of 438082337365133 in words is "four hundred thirty-eight trillion, eighty-two billion, three hundred thirty-seven million, three hundred sixty-five thousand, one hundred thirty-three".