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20106463141460 = 22561132112475933
BaseRepresentation
bin1001001001001011001101…
…00101111101111001010100
32122012011021222122110020002
410210211212211331321110
510113411014031011320
6110432440500430432
74143433620550253
oct444454645757124
978164258573202
1020106463141460
1164521152a5a63
1223089259a8418
13b2b053b0a627
144d722d80a79a
1524d0366e0675
hex12496697de54

20106463141460 has 48 divisors (see below), whose sum is σ = 42948253083792. Its totient is φ = 7904750515200.

The previous prime is 20106463141423. The next prime is 20106463141519. The reversal of 20106463141460 is 6414136460102.

It can be written as a sum of positive squares in 8 ways, for example, as 27854942404 + 20078608199056 = 166898^2 + 4480916^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4626347 + ... + 7849586.

It is an arithmetic number, because the mean of its divisors is an integer number (894755272579).

Almost surely, 220106463141460 is an apocalyptic number.

20106463141460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20106463141460 is an abundant number, since it is smaller than the sum of its proper divisors (22841789942332).

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

20106463141460 is a wasteful number, since it uses less digits than its factorization.

20106463141460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12477324 (or 12477322 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 20106463141460 in words is "twenty trillion, one hundred six billion, four hundred sixty-three million, one hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1321 2642 5284 6605 13210 26420 80581 161162 322324 402905 805810 1611620 12475933 24951866 49903732 62379665 124759330 249518660 761031913 1522063826 3044127652 3805159565 7610319130 15220638260 16480707493 32961414986 65922829972 82403537465 164807074930 329614149860 1005323157073 2010646314146 4021292628292 5026615785365 10053231570730 20106463141460