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20427000833 = 19234347101229
BaseRepresentation
bin10011000001100010…
…110100110000000001
31221201121000011021102
4103001202310300001
5313313303011313
613214541304145
71322125433201
oct230142646001
957647004242
1020427000833
118732567078
123b60b65055
131c06cb1055
14dbacb8401
157e84b4a58
hex4c18b4c01

20427000833 has 64 divisors (see below), whose sum is σ = 23782809600. Its totient is φ = 17443641600.

The previous prime is 20427000829. The next prime is 20427000851. The reversal of 20427000833 is 33800072402.

It is not a de Polignac number, because 20427000833 - 22 = 20427000829 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20427000796 and 20427000805.

It is not an unprimeable number, because it can be changed into a prime (20427009833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89200763 + ... + 89200991.

It is an arithmetic number, because the mean of its divisors is an integer number (371606400).

Almost surely, 220427000833 is an apocalyptic number.

20427000833 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

20427000833 is the 82517-th octagonal number.

It is an amenable number.

20427000833 is a deficient number, since it is larger than the sum of its proper divisors (3355808767).

20427000833 is a wasteful number, since it uses less digits than its factorization.

20427000833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462.

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 20427000833 in words is "twenty billion, four hundred twenty-seven million, eight hundred thirty-three", and thus it is an aban number.

Divisors: 1 19 23 43 47 101 229 437 817 893 989 1081 1919 2021 2323 4343 4351 4747 5267 9847 10763 18791 20539 23129 38399 44137 46483 82517 90193 99889 100073 109181 187093 204121 204497 226481 247549 439451 462809 531967 883177 994547 1087063 1897891 2074439 3878299 4303139 4694783 4703431 8793371 10107373 10644607 18896393 20654197 22874581 25002449 46743709 89200877 202247533 434617039 475046531 888130471 1075105307 20427000833