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13749228900 = 22335211462937
BaseRepresentation
bin11001100111000010…
…01001010101100100
31022111012121012022000
430303201021111210
5211124300311100
610152153405300
7664501342311
oct146341112544
938435535260
1013749228900
1159160991a0
1227b8709830
1313b1689504
14946079d08
155570ea900
hex333849564

13749228900 has 144 divisors (see below), whose sum is σ = 48219622080. Its totient is φ = 3333139200.

The previous prime is 13749228893. The next prime is 13749228917. The reversal of 13749228900 is 982294731.

13749228900 is a `hidden beast` number, since 137 + 492 + 28 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201769 + ... + 261168.

Almost surely, 213749228900 is an apocalyptic number.

13749228900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13749228900 is an abundant number, since it is smaller than the sum of its proper divisors (34470393180).

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

13749228900 is a wasteful number, since it uses less digits than its factorization.

13749228900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462971 (or 462958 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13749228900 in words is "thirteen billion, seven hundred forty-nine million, two hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 462937 925874 1388811 1851748 2314685 2777622 4166433 4629370 5092307 5555244 6944055 8332866 9258740 10184614 11573425 12499299 13888110 15276921 16665732 20369228 20832165 23146850 24998598 25461535 27776220 30553842 34720275 41664330 45830763 46293700 49997196 50923070 61107684 62496495 69440550 76384605 83328660 91661526 101846140 104160825 124992990 127307675 137492289 138881100 152769210 183323052 208321650 229153815 249985980 254615350 274984578 305538420 312482475 381923025 416643300 458307630 509230700 549969156 624964950 687461445 763846050 916615260 1145769075 1249929900 1374922890 1527692100 2291538150 2749845780 3437307225 4583076300 6874614450 13749228900