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20440355525500 = 2253611289519919
BaseRepresentation
bin1001010010111001001000…
…01000010101001101111100
32200101002010112001222110011
410221130210020111031330
510134343322003304000
6111250100353153004
74206524031153121
oct451344410251574
980332115058404
1020440355525500
1165707848a6aa9
12236158985b764
13b53695543841
14509465cd6748
15256a795922ba
hex12972421537c

20440355525500 has 96 divisors (see below), whose sum is σ = 45408856147200. Its totient is φ = 8035852608000.

The previous prime is 20440355525459. The next prime is 20440355525563. The reversal of 20440355525500 is 552555304402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39054541 + ... + 39574459.

It is an arithmetic number, because the mean of its divisors is an integer number (473008918200).

Almost surely, 220440355525500 is an apocalyptic number.

20440355525500 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 20440355525500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22704428073600).

20440355525500 is an abundant number, since it is smaller than the sum of its proper divisors (24968500621700).

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

20440355525500 is a wasteful number, since it uses less digits than its factorization.

20440355525500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521288 (or 521276 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 40.

The spelling of 20440355525500 in words is "twenty trillion, four hundred forty billion, three hundred fifty-five million, five hundred twenty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 1220 1289 1525 2578 3050 5156 6100 6445 7625 12890 15250 25780 30500 32225 64450 78629 128900 157258 161125 314516 322250 393145 519919 644500 786290 1039838 1572580 1965725 2079676 2599595 3931450 5199190 7862900 9828625 10398380 12997975 19657250 25995950 31715059 39314500 51991900 63430118 64989875 126860236 129979750 158575295 259959500 317150590 634301180 670175591 792876475 1340351182 1585752950 2680702364 3171505900 3350877955 3964382375 6701755910 7928764750 13403511820 15857529500 16754389775 33508779550 40880711051 67017559100 81761422102 83771948875 163522844204 167543897750 204403555255 335087795500 408807110510 817614221020 1022017776275 2044035552550 4088071105100 5110088881375 10220177762750 20440355525500