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12284311638 = 2323436133937
BaseRepresentation
bin10110111000011001…
…11011100001010110
31011201010002200121010
423130030323201112
5200124240433023
65350543233050
7613262632434
oct133414734126
934633080533
1012284311638
1152341a0175
122469ba8786
13120a02b871
148476a9d54
154bd6d1093
hex2dc33b856

12284311638 has 64 divisors (see below), whose sum is σ = 26663864832. Its totient is φ = 3762823680.

The previous prime is 12284311631. The next prime is 12284311643. The reversal of 12284311638 is 83611348221.

It is a junction number, because it is equal to n+sod(n) for n = 12284311596 and 12284311605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12284311631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345006 + ... + 378942.

It is an arithmetic number, because the mean of its divisors is an integer number (416622888).

Almost surely, 212284311638 is an apocalyptic number.

12284311638 is an abundant number, since it is smaller than the sum of its proper divisors (14379553194).

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

12284311638 is a wasteful number, since it uses less digits than its factorization.

12284311638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34069.

The product of its digits is 55296, while the sum is 39.

Adding to 12284311638 its reverse (83611348221), we get a palindrome (95895659859).

The spelling of 12284311638 in words is "twelve billion, two hundred eighty-four million, three hundred eleven thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 23 43 46 61 69 86 122 129 138 183 258 366 989 1403 1978 2623 2806 2967 4209 5246 5934 7869 8418 15738 33937 60329 67874 101811 120658 180987 203622 361974 780551 1459291 1561102 2070157 2341653 2918582 4140314 4377873 4683306 6210471 8755746 12420942 33563693 47613611 67127386 89016751 95227222 100691079 142840833 178033502 201382158 267050253 285681666 534100506 2047385273 4094770546 6142155819 12284311638