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12278698632 = 233614512
BaseRepresentation
bin10110110111101111…
…00001001010001000
31011200201112112000000
423123313201022020
5200121321324012
65350223043000
7613164134124
oct133367411210
934621475000
1012278698632
115231007022
122468140460
131208b14a65
14846a48584
154bce72ddc
hex2dbde1288

12278698632 has 84 divisors (see below), whose sum is σ = 34541854935. Its totient is φ = 4090078800.

The previous prime is 12278698631. The next prime is 12278698693. The reversal of 12278698632 is 23689687221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12278698632 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., 6139349316 + 6139349316 = 78354^2 + 78354^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78354.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12278698631) 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 20 ways as a sum of consecutive naturals, for example, 8461507 + ... + 8462957.

Almost surely, 212278698632 is an apocalyptic number.

12278698632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12278698632

12278698632 is an abundant number, since it is smaller than the sum of its proper divisors (22263156303).

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

12278698632 is an frugal number, since it uses more digits than its factorization.

12278698632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 1456 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 12278698632 in words is "twelve billion, two hundred seventy-eight million, six hundred ninety-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1451 1458 1944 2902 2916 4353 5804 5832 8706 11608 13059 17412 26118 34824 39177 52236 78354 104472 117531 156708 235062 313416 352593 470124 705186 940248 1057779 1410372 2105401 2115558 2820744 4210802 4231116 6316203 8421604 8462232 12632406 16843208 18948609 25264812 37897218 50529624 56845827 75794436 113691654 151588872 170537481 227383308 341074962 454766616 511612443 682149924 1023224886 1364299848 1534837329 2046449772 3069674658 4092899544 6139349316 12278698632