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12285452240 = 2451188712919
BaseRepresentation
bin10110111000100010…
…10001111111010000
31011201012020122012122
423130101101333100
5200130033432430
65351023513412
7613305423005
oct133421217720
934635218178
1012285452240
1152348aa116
12246a458868
13120a33aa89
148478c58ac
154bd858ee5
hex2dc451fd0

12285452240 has 40 divisors (see below), whose sum is σ = 28568290560. Its totient is φ = 4913387136.

The previous prime is 12285452191. The next prime is 12285452243. The reversal of 12285452240 is 4225458221.

12285452240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12285452240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12285452243) 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 7 ways as a sum of consecutive naturals, for example, 944501 + ... + 957419.

It is an arithmetic number, because the mean of its divisors is an integer number (714207264).

Almost surely, 212285452240 is an apocalyptic number.

12285452240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12285452240 is an abundant number, since it is smaller than the sum of its proper divisors (16282838320).

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

12285452240 is a wasteful number, since it uses less digits than its factorization.

12285452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24819 (or 24813 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

The spelling of 12285452240 in words is "twelve billion, two hundred eighty-five million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11887 12919 23774 25838 47548 51676 59435 64595 95096 103352 118870 129190 190192 206704 237740 258380 475480 516760 950960 1033520 153568153 307136306 614272612 767840765 1228545224 1535681530 2457090448 3071363060 6142726120 12285452240