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10806824061 = 351117237821
BaseRepresentation
bin10100001000010001…
…10000110001111101
31000220010221112200000
422010020300301331
5134113021332221
64544203424513
7531542326455
oct120410606175
930803845600
1010806824061
114646196960
122117225139
131032bbc467
14747386d65
15433b31e26
hex284230c7d

10806824061 has 48 divisors (see below), whose sum is σ = 18698516928. Its totient is φ = 6164294400.

The previous prime is 10806824059. The next prime is 10806824089. The reversal of 10806824061 is 16042860801.

It is not a de Polignac number, because 10806824061 - 21 = 10806824059 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10806824011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73470 + ... + 164351.

It is an arithmetic number, because the mean of its divisors is an integer number (389552436).

Almost surely, 210806824061 is an apocalyptic number.

10806824061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10806824061 is a deficient number, since it is larger than the sum of its proper divisors (7891692867).

10806824061 is a wasteful number, since it uses less digits than its factorization.

10806824061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237864 (or 237852 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10806824061 in words is "ten billion, eight hundred six million, eight hundred twenty-four thousand, sixty-one".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 243 297 459 561 891 1377 1683 2673 4131 5049 15147 45441 237821 713463 2140389 2616031 4042957 6421167 7848093 12128871 19263501 23544279 36386613 44472527 57790503 70632837 109159839 133417581 211898511 327479517 400252743 635695533 982438551 1200758229 3602274687 10806824061