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10066000505 = 5114371151397
BaseRepresentation
bin10010101111111101…
…01111101001111001
3221222111221210210112
421113332233221321
5131103344004010
64342501154105
7504305410151
oct112776575171
927874853715
1010066000505
1142a5aa4190
121b4b0bb935
13c45588722
146b6c23761
153dda98a05
hex257fafa79

10066000505 has 64 divisors (see below), whose sum is σ = 13798895616. Its totient is φ = 6985440000.

The previous prime is 10066000501. The next prime is 10066000507. The reversal of 10066000505 is 50500066001.

It is not a de Polignac number, because 10066000505 - 22 = 10066000501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10066000501) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 25354967 + ... + 25355363.

It is an arithmetic number, because the mean of its divisors is an integer number (215607744).

Almost surely, 210066000505 is an apocalyptic number.

It is an amenable number.

10066000505 is a deficient number, since it is larger than the sum of its proper divisors (3732895111).

10066000505 is a wasteful number, since it uses less digits than its factorization.

10066000505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678.

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 10066000505 its reverse (50500066001), we get a palindrome (60566066506).

The spelling of 10066000505 in words is "ten billion, sixty-six million, five hundred five", and thus it is an aban number.

Divisors: 1 5 11 43 55 71 151 215 355 397 473 755 781 1661 1985 2365 3053 3905 4367 6493 8305 10721 15265 17071 21835 28187 32465 33583 53605 59947 71423 85355 117931 140935 167915 187781 299735 310057 357115 461003 589655 659417 938905 1212041 1550285 2305015 2577721 3297085 4256237 5071033 6060205 12888605 13332451 21281185 25355165 28354931 46818607 66662255 141774655 183018191 234093035 915090955 2013200101 10066000505