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45050212241300 = 225274671291106747
BaseRepresentation
bin10100011111001000100011…
…11001011100111110010100
312220111202110202020021200102
422033210101321130332110
521401100313313210200
6235451440511233232
712326525153602010
oct1217442171347624
9186452422207612
1045050212241300
1113399762398712
125077048b18818
131c1a2a83807c6
14b1a62883d540
15531cd57596d5
hex28f911e5cf94

45050212241300 has 144 divisors (see below), whose sum is σ = 112051541242368. Its totient is φ = 15400629705600.

The previous prime is 45050212241297. The next prime is 45050212241317. The reversal of 45050212241300 is 314221205054.

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, 421974527 + ... + 422081273.

It is an arithmetic number, because the mean of its divisors is an integer number (778135703072).

Almost surely, 245050212241300 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 45050212241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56025770621184).

45050212241300 is an abundant number, since it is smaller than the sum of its proper divisors (67001329001068).

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

45050212241300 is a wasteful number, since it uses less digits than its factorization.

45050212241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108526 (or 108519 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 45050212241300 its reverse (314221205054), we get a palindrome (45364433446354).

The spelling of 45050212241300 in words is "forty-five trillion, fifty billion, two hundred twelve million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 467 700 934 1291 1868 2335 2582 3269 4670 5164 6455 6538 9037 9340 11675 12910 13076 16345 18074 23350 25820 32275 32690 36148 45185 46700 64550 65380 81725 90370 106747 129100 163450 180740 213494 225925 326900 426988 451850 533735 602897 747229 903700 1067470 1205794 1494458 2134940 2411588 2668675 2988916 3014485 3736145 4220279 5337350 6028970 7472290 8440558 10674700 12057940 14944580 15072425 16881116 18680725 21101395 30144850 37361450 42202790 49850849 60289700 74722900 84405580 99701698 105506975 137810377 199403396 211013950 249254245 275620754 348955943 422027900 498508490 551241508 689051885 697911886 964672639 997016980 1246271225 1378103770 1395823772 1744779715 1929345278 2492542450 2756207540 3445259425 3489559430 3858690556 4823363195 4985084900 6890518850 6979118860 8723898575 9646726390 13781037700 17447797150 19293452780 24116815975 34895594300 48233631950 64357446059 96467263900 128714892118 257429784236 321787230295 450502122413 643574460590 901004244826 1287148921180 1608936151475 1802008489652 2252510612065 3217872302950 4505021224130 6435744605900 9010042448260 11262553060325 22525106120650 45050212241300