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52960000105 = 5531396412243
BaseRepresentation
bin110001010100101010…
…010111100001101001
312001200212120202102101
4301110222113201221
51331430230000410
640155100333401
73553253400445
oct612452274151
9161625522371
1052960000105
11205075a2a31
12a320244261
134cc008a78c
1427c58c3825
15159e686d3a
hexc54a97869

52960000105 has 32 divisors (see below), whose sum is σ = 65347793280. Its totient is φ = 41186795520.

The previous prime is 52960000099. The next prime is 52960000117. The reversal of 52960000105 is 50100006925.

It is not a de Polignac number, because 52960000105 - 23 = 52960000097 is a prime.

It is a super-2 number, since 2×529600001052 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23610114 + ... + 23612356.

It is an arithmetic number, because the mean of its divisors is an integer number (2042118540).

Almost surely, 252960000105 is an apocalyptic number.

It is an amenable number.

52960000105 is a deficient number, since it is larger than the sum of its proper divisors (12387793175).

52960000105 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (52960000104) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3081).

52960000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081.

The product of its (nonzero) digits is 2700, while the sum is 28.

The spelling of 52960000105 in words is "fifty-two billion, nine hundred sixty million, one hundred five", and thus it is an aban number.

Divisors: 1 5 53 139 265 641 695 2243 3205 7367 11215 33973 36835 89099 118879 169865 311777 445495 594395 1437763 1558885 4722247 7188815 16524181 23611235 76201439 82620905 199849057 381007195 999245285 10592000021 52960000105