Search a number
-
+
243130736467005 = 35194728164593799
BaseRepresentation
bin110111010010000001001001…
…001011100101110000111101
31011212212001221001112222202120
4313102001021023211300331
5223331423222013421010
62221032415101313153
7102132421205306052
oct6722011113456075
91155761831488676
10243130736467005
117051819136a842
12233284478657b9
13a58818c9c7b4a
14440783a20d029
151d195c5d3ae70
hexdd20492e5c3d

243130736467005 has 64 divisors (see below), whose sum is σ = 419684004864000. Its totient is φ = 119803409026560.

The previous prime is 243130736466901. The next prime is 243130736467037. The reversal of 243130736467005 is 500764637031342.

It is not a de Polignac number, because 243130736467005 - 214 = 243130736450621 is a prime.

It is a super-2 number, since 2×2431307364670052 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 28532905 + ... + 36060894.

It is an arithmetic number, because the mean of its divisors is an integer number (6557562576000).

Almost surely, 2243130736467005 is an apocalyptic number.

It is an amenable number.

243130736467005 is a deficient number, since it is larger than the sum of its proper divisors (176553268396995).

243130736467005 is a wasteful number, since it uses less digits than its factorization.

243130736467005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64594154.

The product of its (nonzero) digits is 7620480, while the sum is 51.

The spelling of 243130736467005 in words is "two hundred forty-three trillion, one hundred thirty billion, seven hundred thirty-six million, four hundred sixty-seven thousand, five".

Divisors: 1 3 5 15 19 47 57 95 141 235 281 285 705 843 893 1405 2679 4215 4465 5339 13207 13395 16017 26695 39621 66035 80085 198105 250933 752799 1254665 3763995 64593799 193781397 322968995 968906985 1227282181 3035908553 3681846543 6136410905 9107725659 15179542765 18150857519 18409232715 45538628295 54452572557 57682262507 90754287595 173046787521 272262862785 288411312535 344866292861 853090303393 865233937605 1034598878583 1724331464305 2559270910179 4265451516965 5172994392915 12796354550895 16208715764467 48626147293401 81043578822335 243130736467005