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12905094300 = 22352716993617
BaseRepresentation
bin11000000010011010…
…00001110010011100
31020022101012201022120
430001031001302130
5202412201004200
65532320542540
7634541330430
oct140115016234
936271181276
1012905094300
11552265339a
122601a81a50
1312a8822b97
148a5d029c0
15507e569a0
hex301341c9c

12905094300 has 144 divisors (see below), whose sum is σ = 42709766400. Its totient is φ = 2947184640.

The previous prime is 12905094287. The next prime is 12905094313. The reversal of 12905094300 is 349050921.

It is an interprime number because it is at equal distance from previous prime (12905094287) and next prime (12905094313).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3566092 + ... + 3569708.

It is an arithmetic number, because the mean of its divisors is an integer number (296595600).

Almost surely, 212905094300 is an apocalyptic number.

12905094300 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 12905094300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354883200).

12905094300 is an abundant number, since it is smaller than the sum of its proper divisors (29804672100).

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

12905094300 is a wasteful number, since it uses less digits than its factorization.

12905094300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 12905094300 in words is "twelve billion, nine hundred five million, ninety-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1699 2100 3398 3617 5097 6796 7234 8495 10194 10851 11893 14468 16990 18085 20388 21702 23786 25319 25485 33980 35679 36170 42475 43404 47572 50638 50970 54255 59465 71358 72340 75957 84950 90425 101276 101940 108510 118930 126595 127425 142716 151914 169900 178395 180850 217020 237860 253190 254850 271275 297325 303828 356790 361700 379785 506380 509700 542550 594650 632975 713580 759570 891975 1085100 1189300 1265950 1519140 1783950 1898925 2531900 3567900 3797850 6145283 7595700 12290566 18435849 24581132 30726415 36871698 43016981 61452830 73743396 86033962 92179245 122905660 129050943 153632075 172067924 184358490 215084905 258101886 307264150 368716980 430169810 460896225 516203772 614528300 645254715 860339620 921792450 1075424525 1290509430 1843584900 2150849050 2581018860 3226273575 4301698100 6452547150 12905094300