Search a number
-
+
264435131634212 = 227114120940381029
BaseRepresentation
bin111100001000000010011010…
…000101100101001000100100
31021200021202021222122120121002
4330020002122011211020210
5234130001122144243322
62334223453351012432
7106461544034322050
oct7410023205451044
91250252258576532
10264435131634212
1177291344aa8160
12257a937266a118
13b472183836366
144942a2b632c60
1520888708c8c92
hexf0809a165224

264435131634212 has 48 divisors (see below), whose sum is σ = 591021314190720. Its totient is φ = 100513828934400.

The previous prime is 264435131634211. The next prime is 264435131634221. The reversal of 264435131634212 is 212436131534462.

It is not an unprimeable number, because it can be changed into a prime (264435131634211) 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 15 ways as a sum of consecutive naturals, for example, 10470177887 + ... + 10470203142.

It is an arithmetic number, because the mean of its divisors is an integer number (12312944045640).

Almost surely, 2264435131634212 is an apocalyptic number.

264435131634212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

264435131634212 is an abundant number, since it is smaller than the sum of its proper divisors (326586182556508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264435131634212 is a wasteful number, since it uses less digits than its factorization.

264435131634212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20940381092 (or 20940381090 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 47.

The spelling of 264435131634212 in words is "two hundred sixty-four trillion, four hundred thirty-five billion, one hundred thirty-one million, six hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 1148 1804 3157 6314 12628 20940381029 41880762058 83761524116 146582667203 230344191319 293165334406 460688382638 586330668812 858555622189 921376765276 1612409339233 1717111244378 3224818678466 3434222488756 6009889355323 6449637356932 9444111844079 12019778710646 18888223688158 24039557421292 37776447376316 66108782908553 132217565817106 264435131634212