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12734482280 = 2351366137049
BaseRepresentation
bin10111101110000100…
…01100011101101000
31012212111011201121212
423313002030131220
5202040011413110
65503344052252
7630400212332
oct136702143550
935774151555
1012734482280
115445313023
122574904088
13127c388120
1488b3b0452
154e7ea4e05
hex2f708c768

12734482280 has 64 divisors (see below), whose sum is σ = 30904146000. Its totient is φ = 4694722560.

The previous prime is 12734482273. The next prime is 12734482373. The reversal of 12734482280 is 8228443721.

12734482280 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 8 ways, for example, as 2710868356 + 10023613924 = 52066^2 + 100118^2 .

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 15 ways as a sum of consecutive naturals, for example, 325196 + ... + 362244.

Almost surely, 212734482280 is an apocalyptic number.

12734482280 is a gapful number since it is divisible by the number (10) 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 12734482280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452073000).

12734482280 is an abundant number, since it is smaller than the sum of its proper divisors (18169663720).

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

12734482280 is a wasteful number, since it uses less digits than its factorization.

12734482280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37734 (or 37730 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 12734482280 in words is "twelve billion, seven hundred thirty-four million, four hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 661 1322 2644 3305 5288 6610 8593 13220 17186 26440 34372 37049 42965 68744 74098 85930 148196 171860 185245 296392 343720 370490 481637 740980 963274 1481960 1926548 2408185 3853096 4816370 9632740 19265480 24489389 48978778 97957556 122446945 195915112 244893890 318362057 489787780 636724114 979575560 1273448228 1591810285 2546896456 3183620570 6367241140 12734482280