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2053582480300 = 22521343127928723
BaseRepresentation
bin11101111000100011000…
…011011110001110101100
321021022122200201212200111
4131320203003132032230
5232121214103332200
64211222555305404
7301236455033551
oct35704303361654
97238580655614
102053582480300
11721a1285635a
12291bb874b264
1311b86258ba10
1471572ccca28
15386421230ba
hex1de230de3ac

2053582480300 has 144 divisors (see below), whose sum is σ = 4914680995840. Its totient is φ = 740007394560.

The previous prime is 2053582480241. The next prime is 2053582480307. The reversal of 2053582480300 is 30842853502.

It is not an unprimeable number, because it can be changed into a prime (2053582480307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71481739 + ... + 71510461.

Almost surely, 22053582480300 is an apocalyptic number.

2053582480300 is a gapful number since it is divisible by the number (20) 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 2053582480300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457340497920).

2053582480300 is an abundant number, since it is smaller than the sum of its proper divisors (2861098515540).

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

2053582480300 is a wasteful number, since it uses less digits than its factorization.

2053582480300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30072 (or 30065 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 2053582480300 in words is "two trillion, fifty-three billion, five hundred eighty-two million, four hundred eighty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 172 215 260 325 430 559 650 860 1075 1118 1279 1300 2150 2236 2558 2795 4300 5116 5590 6395 11180 12790 13975 16627 25580 27950 28723 31975 33254 54997 55900 57446 63950 66508 83135 109994 114892 127900 143615 166270 219988 274985 287230 332540 373399 415675 549970 574460 714961 718075 746798 831350 1099940 1235089 1374925 1429922 1436150 1493596 1662700 1866995 2470178 2749850 2859844 2872300 3574805 3733990 4940356 5499700 6175445 7149610 7467980 9334975 12350890 14299220 16056157 17874025 18669950 24701780 30877225 32112314 35748050 36736717 37339900 61754450 64224628 71496100 73473434 80280785 123508900 146946868 160561570 183683585 321123140 367367170 401403925 477577321 734734340 802807850 918417925 955154642 1579678831 1605615700 1836835850 1910309284 2387886605 3159357662 3673671700 4775773210 6318715324 7898394155 9551546420 11939433025 15796788310 20535824803 23878866050 31593576620 39491970775 41071649606 47757732100 78983941550 82143299212 102679124015 157967883100 205358248030 410716496060 513395620075 1026791240150 2053582480300