Search a number
-
+
12006765225 = 3252721383773
BaseRepresentation
bin10110010111010100…
…01011001010101001
31010222202211212111100
423023222023022221
5144042212441400
65303230352013
7603352551300
oct131352131251
933882755440
1012006765225
115101562474
1223b105b609
131194692c10
1481c89d437
154a415a100
hex2cba8b2a9

12006765225 has 108 divisors (see below), whose sum is σ = 26941215756. Its totient is φ = 5066530560.

The previous prime is 12006765203. The next prime is 12006765241. The reversal of 12006765225 is 52256760021.

12006765225 is a `hidden beast` number, since 120 + 0 + 6 + 7 + 6 + 522 + 5 = 666.

12006765225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1680344064 + 10326421161 = 40992^2 + 101619^2 .

It is not a de Polignac number, because 12006765225 - 210 = 12006764201 is a prime.

It is a super-2 number, since 2×120067652252 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12006765225.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 101439 + ... + 185211.

Almost surely, 212006765225 is an apocalyptic number.

12006765225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12006765225 is an abundant number, since it is smaller than the sum of its proper divisors (14934450531).

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

12006765225 is a wasteful number, since it uses less digits than its factorization.

12006765225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83816 (or 83801 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 12006765225 in words is "twelve billion, six million, seven hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 49 63 65 75 91 105 117 147 175 195 225 245 273 315 325 441 455 525 585 637 735 819 975 1225 1365 1575 1911 2205 2275 2925 3185 3675 4095 5733 6825 9555 11025 15925 20475 28665 47775 83773 143325 251319 418865 586411 753957 1089049 1256595 1759233 2094325 2932055 3267147 3769785 4104877 5277699 5445245 6282975 7623343 8796165 9801441 12314631 14660275 16335735 18848925 20524385 22870029 26388495 27226225 36943893 38116715 43980825 49007205 53363401 61573155 68610087 81678675 102621925 114350145 131942475 160090203 184719465 190583575 245036025 266817005 307865775 343050435 480270609 571750725 800451015 923597325 1334085025 1715252175 2401353045 4002255075 12006765225