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82374244933 is a prime number
BaseRepresentation
bin100110010110111100…
…0110011101001000101
321212121210200012202111
41030231320303221011
52322200301314213
6101501525541021
75644211346331
oct1145570635105
9255553605674
1082374244933
1131a31128482
1213b6ab74771
1379c9ca3986
143db62127c1
152221b58a3d
hex132de33a45

82374244933 has 2 divisors, whose sum is σ = 82374244934. Its totient is φ = 82374244932.

The previous prime is 82374244921. The next prime is 82374244949. The reversal of 82374244933 is 33944247328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71378205889 + 10996039044 = 267167^2 + 104862^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82374244933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82374244903) 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, 41187122466 + 41187122467.

It is an arithmetic number, because the mean of its divisors is an integer number (41187122467).

Almost surely, 282374244933 is an apocalyptic number.

It is an amenable number.

82374244933 is a deficient number, since it is larger than the sum of its proper divisors (1).

82374244933 is an equidigital number, since it uses as much as digits as its factorization.

82374244933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3483648, while the sum is 49.

The spelling of 82374244933 in words is "eighty-two billion, three hundred seventy-four million, two hundred forty-four thousand, nine hundred thirty-three".