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83732378993 is a prime number
BaseRepresentation
bin100110111111011010…
…1101011010101110001
322000010110020120102222
41031332311223111301
52332440442111433
6102244403250425
76022652323004
oct1157665532561
9260113216388
1083732378993
113256882171a
1214289979a15
137b854844b3
1440a474753b
1522a0ecdb98
hex137ed6b571

83732378993 has 2 divisors, whose sum is σ = 83732378994. Its totient is φ = 83732378992.

The previous prime is 83732378941. The next prime is 83732379001. The reversal of 83732378993 is 39987323738.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80048253184 + 3684125809 = 282928^2 + 60697^2 .

It is a cyclic number.

It is not a de Polignac number, because 83732378993 - 26 = 83732378929 is a prime.

It is a super-2 number, since 2×837323789932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (83732378903) 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, 41866189496 + 41866189497.

It is an arithmetic number, because the mean of its divisors is an integer number (41866189497).

Almost surely, 283732378993 is an apocalyptic number.

It is an amenable number.

83732378993 is a deficient number, since it is larger than the sum of its proper divisors (1).

83732378993 is an equidigital number, since it uses as much as digits as its factorization.

83732378993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41150592, while the sum is 62.

The spelling of 83732378993 in words is "eighty-three billion, seven hundred thirty-two million, three hundred seventy-eight thousand, nine hundred ninety-three".