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20417105527 = 731331114723
BaseRepresentation
bin10011000000111101…
…000100111001110111
31221200220101102110121
4103000331010321313
5313303234334102
613213545232411
71321645351000
oct230075047167
957626342417
1020417105527
118727a18635
123b59792707
131c04c28040
14db98601a7
157e76acb37
hex4c0f44e77

20417105527 has 32 divisors (see below), whose sum is σ = 25725772800. Its totient is φ = 16101156960.

The previous prime is 20417105461. The next prime is 20417105537. The reversal of 20417105527 is 72550171402.

It is a de Polignac number, because none of the positive numbers 2k-20417105527 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20417105492 and 20417105501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20417105537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1379388 + ... + 1394110.

It is an arithmetic number, because the mean of its divisors is an integer number (803930400).

Almost surely, 220417105527 is an apocalyptic number.

20417105527 is a deficient number, since it is larger than the sum of its proper divisors (5308667273).

20417105527 is a wasteful number, since it uses less digits than its factorization.

20417105527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15068 (or 15054 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

Adding to 20417105527 its reverse (72550171402), we get a palindrome (92967276929).

The spelling of 20417105527 in words is "twenty billion, four hundred seventeen million, one hundred five thousand, five hundred twenty-seven".

Divisors: 1 7 13 49 91 311 343 637 2177 4043 4459 14723 15239 28301 103061 106673 191399 198107 721427 1339793 1386749 4578853 5049989 9378551 32051971 59525089 65649857 224363797 416675623 1570546579 2916729361 20417105527