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12155014224 = 24349378869
BaseRepresentation
bin10110101000111111…
…01100110001010000
31011101002210200220000
423110133230301100
5144343140423344
65330044050000
7610132626153
oct132437546120
934332720800
1012155014224
115178209101
122432833900
1311b92cab12
1483444dc9a
154b2190a69
hex2d47ecc50

12155014224 has 50 divisors (see below), whose sum is σ = 35180141370. Its totient is φ = 4051670976.

The previous prime is 12155014199. The next prime is 12155014231. The reversal of 12155014224 is 42241055121.

It is a happy number.

12155014224 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 only one way, i.e., 12151093824 + 3920400 = 110232^2 + 1980^2 .

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

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 4688139 + ... + 4690730.

Almost surely, 212155014224 is an apocalyptic number.

It is an amenable number.

12155014224 is an abundant number, since it is smaller than the sum of its proper divisors (23025127146).

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

12155014224 is an equidigital number, since it uses as much as digits as its factorization.

12155014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378889 (or 9378874 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 12155014224 its reverse (42241055121), we get a palindrome (54396069345).

The spelling of 12155014224 in words is "twelve billion, one hundred fifty-five million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 9378869 18757738 28136607 37515476 56273214 75030952 84409821 112546428 150061904 168819642 225092856 253229463 337639284 450185712 506458926 675278568 759688389 1012917852 1350557136 1519376778 2025835704 3038753556 4051671408 6077507112 12155014224