Search a number
-
+
243520204005 = 335131311059221
BaseRepresentation
bin1110001011001011101…
…1110110110011100101
3212021120100020010002000
43202302323312303211
512442212133012010
6303512135035513
723410441403151
oct3426273666345
9767510203060
10243520204005
1194304896651
123b24250bb99
1319c6b793290
14bb01dca061
1565040097c0
hex38b2ef6ce5

243520204005 has 64 divisors (see below), whose sum is σ = 469786141440. Its totient is φ = 118971590400.

The previous prime is 243520204003. The next prime is 243520204009. The reversal of 243520204005 is 500402025342.

It is a happy number.

243520204005 is a `hidden beast` number, since 2 + 435 + 20 + 204 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 243520204005 - 21 = 243520204003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 243520204005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243520204003) 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 in 63 ways as a sum of consecutive naturals, for example, 299706 + ... + 759515.

It is an arithmetic number, because the mean of its divisors is an integer number (7340408460).

Almost surely, 2243520204005 is an apocalyptic number.

It is an amenable number.

243520204005 is a deficient number, since it is larger than the sum of its proper divisors (226265937435).

243520204005 is a wasteful number, since it uses less digits than its factorization.

243520204005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059379 (or 1059373 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 243520204005 its reverse (500402025342), we get a palindrome (743922229347).

The spelling of 243520204005 in words is "two hundred forty-three billion, five hundred twenty million, two hundred four thousand, five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 131 135 195 351 393 585 655 1179 1703 1755 1965 3537 5109 5895 8515 15327 17685 25545 45981 76635 229905 1059221 3177663 5296105 9532989 13769873 15888315 28598967 41309619 47664945 68849365 123928857 138757951 142994835 206548095 371786571 416273853 619644285 693789755 1248821559 1803853363 1858932855 2081369265 3746464677 5411560089 6244107795 9019266815 16234680267 18732323385 27057800445 48704040801 81173401335 243520204005