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20415506000450 = 25211129148895881
BaseRepresentation
bin1001010010001010110101…
…11110111010101001000010
32200021200222201022022110112
410221011122332322221002
510133441424014003300
6111230430505431322
74204654161530201
oct451053276725102
980250881268415
1020415506000450
1165611929a7040
1223587b379b542
13b51235244472
1450818991d238
152560c2be4e35
hex12915afbaa42

20415506000450 has 96 divisors (see below), whose sum is σ = 41472535498560. Its totient is φ = 7415291520000.

The previous prime is 20415506000413. The next prime is 20415506000467. The reversal of 20415506000450 is 5400060551402.

It is a Curzon 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, 3471431510 + ... + 3471437390.

It is an arithmetic number, because the mean of its divisors is an integer number (432005578110).

Almost surely, 220415506000450 is an apocalyptic number.

20415506000450 is an abundant number, since it is smaller than the sum of its proper divisors (21057029498110).

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

20415506000450 is a wasteful number, since it uses less digits than its factorization.

20415506000450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12084 (or 12079 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 20415506000450 its reverse (5400060551402), we get a palindrome (25815566551852).

The spelling of 20415506000450 in words is "twenty trillion, four hundred fifteen billion, five hundred six million, four hundred fifty", and thus it is an aban number.

Divisors: 1 2 5 10 11 22 25 50 55 110 275 550 1291 2582 4889 5881 6455 9778 11762 12910 14201 24445 28402 29405 32275 48890 53779 58810 64550 64691 71005 107558 122225 129382 142010 147025 244450 268895 294050 323455 355025 537790 646910 710050 1344475 1617275 2688950 3234550 6311699 7592371 12623398 15184742 28752209 31558495 37961855 57504418 63116990 69428689 75923710 83516081 138857378 143761045 157792475 167032162 189809275 287522090 315584950 316274299 347143445 379618550 417580405 632548598 694286890 718805225 835160810 1437610450 1581371495 1735717225 2087902025 3162742990 3471434450 4175804050 7906857475 15813714950 37119101819 74238203638 185595509095 371191018190 408310120009 816620240018 927977545475 1855955090950 2041550600045 4083101200090 10207753000225 20415506000450