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12879030276 = 22327439712253
BaseRepresentation
bin10111111111010011…
…00110100000000100
31020020120011112012100
423333221212200010
5202334012432101
65525550152100
7634103644140
oct137751464004
936216145170
1012879030276
115509971082
1225b51b2630
1312a32c8598
148a267a220
15505a08e86
hex2ffa66804

12879030276 has 144 divisors (see below), whose sum is σ = 38466972544. Its totient is φ = 3556804608.

The previous prime is 12879030271. The next prime is 12879030293. The reversal of 12879030276 is 67203097821.

12879030276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12879030271) 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 47 ways as a sum of consecutive naturals, for example, 1044966 + ... + 1057218.

Almost surely, 212879030276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12879030276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233486272).

12879030276 is an abundant number, since it is smaller than the sum of its proper divisors (25587942268).

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

12879030276 is a wasteful number, since it uses less digits than its factorization.

12879030276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12410 (or 12405 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12879030276 in words is "twelve billion, eight hundred seventy-nine million, thirty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 97 126 129 172 194 252 258 291 301 387 388 516 582 602 679 774 873 903 1164 1204 1358 1548 1746 1806 2037 2709 2716 3492 3612 4074 4171 5418 6111 8148 8342 10836 12222 12253 12513 16684 24444 24506 25026 29197 36759 37539 49012 50052 58394 73518 75078 85771 87591 110277 116788 147036 150156 171542 175182 220554 257313 262773 343084 350364 441108 514626 525546 526879 771939 1029252 1051092 1053758 1188541 1543878 1580637 2107516 2377082 3087756 3161274 3565623 3688153 4741911 4754164 6322548 7131246 7376306 8319787 9483822 10696869 11064459 14262492 14752612 16639574 18967644 21393738 22128918 24959361 33193377 33279148 42787476 44257836 49918722 51107263 66386754 74878083 99837444 102214526 132773508 149756166 153321789 204429052 299512332 306643578 357750841 459965367 613287156 715501682 919930734 1073252523 1431003364 1839861468 2146505046 3219757569 4293010092 6439515138 12879030276