Search a number
-
+
1166121244365 = 357111955795401
BaseRepresentation
bin10000111110000010001…
…111100001011011001101
311010110221222212000011020
4100332002033201123031
5123101204014304430
62251413025144353
7150151400013510
oct20760217413315
94113858760136
101166121244365
1140a6050505a0
1216a00378b0b9
1385c7077263c
1440624ccad77
15205007dab10
hex10f823e16cd

1166121244365 has 128 divisors (see below), whose sum is σ = 2453037281280. Its totient is φ = 458286336000.

The previous prime is 1166121244363. The next prime is 1166121244381. The reversal of 1166121244365 is 5634421216611.

It is not a de Polignac number, because 1166121244365 - 21 = 1166121244363 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166121244363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12175665 + ... + 12271065.

It is an arithmetic number, because the mean of its divisors is an integer number (19164353760).

Almost surely, 21166121244365 is an apocalyptic number.

1166121244365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1166121244365 is an abundant number, since it is smaller than the sum of its proper divisors (1286916036915).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1166121244365 is a wasteful number, since it uses less digits than its factorization.

1166121244365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96003.

The product of its digits is 207360, while the sum is 42.

The spelling of 1166121244365 in words is "one trillion, one hundred sixty-six billion, one hundred twenty-one million, two hundred forty-four thousand, three hundred sixty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 385 399 557 627 665 1045 1155 1463 1671 1995 2785 3135 3899 4389 6127 7315 8355 10583 11697 18381 19495 21945 30635 31749 42889 52915 58485 74081 91905 95401 116413 128667 158745 214445 222243 286203 349239 370405 477005 582065 643335 667807 814891 1049411 1111215 1431015 1746195 1812619 2003421 2444673 3148233 3339035 4074455 5247055 5437857 7345877 9063095 10017105 12223365 12688333 15741165 19938809 22037631 27189285 36729385 38064999 53138357 59816427 63441665 99694045 110188155 139571663 159415071 190324995 265691785 299082135 371968499 418714989 584521927 697858315 797075355 1009628783 1115905497 1753565781 1859842495 2093574945 2922609635 3028886349 4091653489 5048143915 5579527485 7067401481 8767828905 11105916613 12274960467 15144431745 20458267445 21202204443 33317749839 35337007405 55529583065 61374802335 77741416291 106011022215 166588749195 233224248873 388707081455 1166121244365