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72381733261 is a prime number
BaseRepresentation
bin100001101101001001…
…0011001100110001101
320220211102000000200121
41003122102121212031
52141214210431021
653130211424541
75141454403255
oct1033222314615
9226742000617
1072381733261
1128773668572
12120405b5151
136a96a08a86
14370907c965
151d39779741
hex10da49998d

72381733261 has 2 divisors, whose sum is σ = 72381733262. Its totient is φ = 72381733260.

The previous prime is 72381733223. The next prime is 72381733321. The reversal of 72381733261 is 16233718327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62282689225 + 10099044036 = 249565^2 + 100494^2 .

It is a cyclic number.

It is not a de Polignac number, because 72381733261 - 225 = 72348178829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72381733211) 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, 36190866630 + 36190866631.

It is an arithmetic number, because the mean of its divisors is an integer number (36190866631).

Almost surely, 272381733261 is an apocalyptic number.

It is an amenable number.

72381733261 is a deficient number, since it is larger than the sum of its proper divisors (1).

72381733261 is an equidigital number, since it uses as much as digits as its factorization.

72381733261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 254016, while the sum is 43.

The spelling of 72381733261 in words is "seventy-two billion, three hundred eighty-one million, seven hundred thirty-three thousand, two hundred sixty-one".