Search a number
-
+
73524280769 is a prime number
BaseRepresentation
bin100010001111001100…
…0110111110111000001
321000210000220110012222
41010132120313313001
52201034203441034
653435424300425
75212000034462
oct1043630676701
9230700813188
1073524280769
11291aa5a3405
12122bb171715
136c196359a4
1437b6ad4d69
151da4c1712e
hex111e637dc1

73524280769 has 2 divisors, whose sum is σ = 73524280770. Its totient is φ = 73524280768.

The previous prime is 73524280763. The next prime is 73524280859. The reversal of 73524280769 is 96708242537.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69834933169 + 3689347600 = 264263^2 + 60740^2 .

It is a cyclic number.

It is not a de Polignac number, because 73524280769 - 220 = 73523232193 is a prime.

It is a super-2 number, since 2×735242807692 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73524280769.

It is not a weakly prime, because it can be changed into another prime (73524280763) 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, 36762140384 + 36762140385.

It is an arithmetic number, because the mean of its divisors is an integer number (36762140385).

Almost surely, 273524280769 is an apocalyptic number.

It is an amenable number.

73524280769 is a deficient number, since it is larger than the sum of its proper divisors (1).

73524280769 is an equidigital number, since it uses as much as digits as its factorization.

73524280769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 73524280769 in words is "seventy-three billion, five hundred twenty-four million, two hundred eighty thousand, seven hundred sixty-nine".