Search a number
-
+
661506006609 = 33719315942329
BaseRepresentation
bin10011010000001001101…
…01001001111001010001
32100020110111020220221000
421220010311021321101
541314231014202414
61223520333252213
765535510165360
oct11500465117121
92306414226830
10661506006609
112355a7993718
12a8255034069
134a4c2400966
1424034b617d7
1512319904b09
hex9a04d49e51

661506006609 has 64 divisors (see below), whose sum is σ = 1216989184000. Its totient is φ = 346556568960.

The previous prime is 661506006587. The next prime is 661506006643. The reversal of 661506006609 is 906600605166.

It is not a de Polignac number, because 661506006609 - 220 = 661504958033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (661506006209) 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 63 ways as a sum of consecutive naturals, for example, 2859844 + ... + 3082485.

It is an arithmetic number, because the mean of its divisors is an integer number (19015456000).

Almost surely, 2661506006609 is an apocalyptic number.

It is an amenable number.

661506006609 is a deficient number, since it is larger than the sum of its proper divisors (555483177391).

661506006609 is a wasteful number, since it uses less digits than its factorization.

661506006609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942395 (or 5942389 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 661506006609 in words is "six hundred sixty-one billion, five hundred six million, six thousand, six hundred nine".

Divisors: 1 3 7 9 19 21 27 31 57 63 93 133 171 189 217 279 399 513 589 651 837 1197 1767 1953 3591 4123 5301 5859 12369 15903 37107 111321 5942329 17826987 41596303 53480961 112904251 124788909 160442883 184212199 338712753 374366727 552636597 790329757 1016138259 1123100181 1289485393 1657909791 2370989271 3048414777 3500031781 3868456179 4973729373 7112967813 10500095343 11605368537 21338903439 24500222467 31500286029 34816105611 73500667401 94500858087 220502002203 661506006609