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55055055005300 = 225273116811150919
BaseRepresentation
bin11001000010010100000001…
…11111110010011001110100
321012221012201102222102211102
430201022000333302121310
524204010223040132200
6313031535413425232
714411411405125640
oct1441120077623164
9235835642872742
1055055055005300
11165a67992a4a29
12621205663b218
13249489190424c
14d84970bbdc20
156571958e56d5
hex321280ff2674

55055055005300 has 144 divisors (see below), whose sum is σ = 140950258606080. Its totient is φ = 18265907376000.

The previous prime is 55055055005179. The next prime is 55055055005323. The reversal of 55055055005300 is 350055055055.

It is a congruent number.

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, 364723241 + ... + 364874159.

It is an arithmetic number, because the mean of its divisors is an integer number (978821240320).

Almost surely, 255055055005300 is an apocalyptic number.

55055055005300 is a gapful number since it is divisible by the number (50) 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 55055055005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70475129303040).

55055055005300 is an abundant number, since it is smaller than the sum of its proper divisors (85895203600780).

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

55055055005300 is a wasteful number, since it uses less digits than its factorization.

55055055005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167782 (or 167775 counting only the distinct ones).

The product of its (nonzero) digits is 234375, while the sum is 38.

The spelling of 55055055005300 in words is "fifty-five trillion, fifty-five billion, fifty-five million, five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 10850 16811 21700 33622 67244 84055 117677 150919 168110 235354 301838 336220 420275 470708 521141 588385 603676 754595 840550 1042282 1056433 1176770 1509190 1681100 2084564 2112866 2353540 2605705 2941925 3018380 3647987 3772975 4225732 4678489 5211410 5282165 5883850 7295974 7545950 9356978 10422820 10564330 11767700 13028525 14591948 15091900 18239935 18713956 21128660 23392445 26057050 26410825 32749423 36479870 46784890 52114100 52821650 65498846 72959740 91199675 93569780 105643300 116962225 130997692 163747115 182399350 233924450 327494230 364798700 467848900 654988460 818735575 1637471150 2537099309 3274942300 5074198618 10148397236 12685496545 17759695163 25370993090 35519390326 50741986180 63427482725 71038780652 78650078579 88798475815 126854965450 157300157158 177596951630 253709930900 314600314316 355193903260 393250392895 443992379075 550550550053 786500785790 887984758150 1101101100106 1573001571580 1775969516300 1966251964475 2202202200212 2752752750265 3932503928950 5505505500530 7865007857900 11011011001060 13763763751325 27527527502650 55055055005300