Search a number
-
+
664513200369 = 32731011435617
BaseRepresentation
bin10011010101110000001…
…00101100000011110001
32100112020001211012020200
421222320010230003301
541341410334402434
61225135000025413
766003154002204
oct11527004540361
92315201735220
10664513200369
11236900417917
12a8954162269
134a881433655
142423c2bb93b
151244391a199
hex9ab812c0f1

664513200369 has 12 divisors (see below), whose sum is σ = 973001064516. Its totient is φ = 436940186112.

The previous prime is 664513200331. The next prime is 664513200397. The reversal of 664513200369 is 963002315466.

It can be written as a sum of positive squares in 2 ways, for example, as 410182607025 + 254330593344 = 640455^2 + 504312^2 .

It is not a de Polignac number, because 664513200369 - 215 = 664513167601 is a prime.

It is a super-2 number, since 2×6645132003692 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (664513200319) 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 in 11 ways as a sum of consecutive naturals, for example, 505717152 + ... + 505718465.

It is an arithmetic number, because the mean of its divisors is an integer number (81083422043).

Almost surely, 2664513200369 is an apocalyptic number.

It is an amenable number.

664513200369 is a deficient number, since it is larger than the sum of its proper divisors (308487864147).

664513200369 is a wasteful number, since it uses less digits than its factorization.

664513200369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011435696 (or 1011435693 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 664513200369 in words is "six hundred sixty-four billion, five hundred thirteen million, two hundred thousand, three hundred sixty-nine".

Divisors: 1 3 9 73 219 657 1011435617 3034306851 9102920553 73834800041 221504400123 664513200369