Search a number
-
+
73664546353 = 1719534303087
BaseRepresentation
bin100010010011010111…
…1111100011000110001
321001010210211200102121
41010212233330120301
52201331110440403
653501354514241
75215322212156
oct1044657743061
9231123750377
1073664546353
1129271796a82
121233a135981
136c3c706b88
1437cb5a822d
151db21c23bd
hex1126bfc631

73664546353 has 16 divisors (see below), whose sum is σ = 83652030720. Its totient is φ = 64443015936.

The previous prime is 73664546299. The next prime is 73664546357. The reversal of 73664546353 is 35364546637.

It is a cyclic number.

It is not a de Polignac number, because 73664546353 - 29 = 73664545841 is a prime.

It is a super-3 number, since 3×736645463533 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73664546353.

It is not an unprimeable number, because it can be changed into a prime (73664546357) 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 in 15 ways as a sum of consecutive naturals, for example, 2134425 + ... + 2168662.

It is an arithmetic number, because the mean of its divisors is an integer number (5228251920).

Almost surely, 273664546353 is an apocalyptic number.

It is an amenable number.

73664546353 is a deficient number, since it is larger than the sum of its proper divisors (9987484367).

73664546353 is a wasteful number, since it uses less digits than its factorization.

73664546353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303176.

The product of its digits is 16329600, while the sum is 52.

The spelling of 73664546353 in words is "seventy-three billion, six hundred sixty-four million, five hundred forty-six thousand, three hundred fifty-three".

Divisors: 1 17 19 53 323 901 1007 17119 4303087 73152479 81758653 228063611 1389897101 3877081387 4333208609 73664546353