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149365161363879 = 332915719931319507
BaseRepresentation
bin100001111101100011001001…
…011000101000100110100111
3201120212011120220120122122000
4201331203021120220212213
5124034144322302121004
61245401224032540343
743314163640321556
oct4175431130504647
9646764526518560
10149365161363879
114365745571480a
1214903b763b16b3
1365460c7265226
1428c5453271d9d
1512404e5ca7c39
hex87d8c96289a7

149365161363879 has 128 divisors (see below), whose sum is σ = 232279415040000. Its totient is φ = 94742128825344.

The previous prime is 149365161363841. The next prime is 149365161363889. The reversal of 149365161363879 is 978363161563941.

149365161363879 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 6 + 516 + 1 + 3 + 6 + 38 + 79 = 666.

It is not a de Polignac number, because 149365161363879 - 28 = 149365161363623 is a prime.

It is a super-2 number, since 2×1493651613638792 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149365161363829) 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 127 ways as a sum of consecutive naturals, for example, 7656993444 + ... + 7657012950.

It is an arithmetic number, because the mean of its divisors is an integer number (1814682930000).

Almost surely, 2149365161363879 is an apocalyptic number.

149365161363879 is a deficient number, since it is larger than the sum of its proper divisors (82914253676121).

149365161363879 is a wasteful number, since it uses less digits than its factorization.

149365161363879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20214 (or 20208 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 149365161363879 in words is "one hundred forty-nine trillion, three hundred sixty-five billion, one hundred sixty-one million, three hundred sixty-three thousand, eight hundred seventy-nine".

Divisors: 1 3 9 27 29 87 157 199 261 313 471 597 783 939 1413 1791 2817 4239 4553 5373 5771 8451 9077 13659 17313 19507 27231 31243 40977 49141 51939 58521 62287 81693 93729 122931 147423 155817 175563 186861 245079 281187 442269 526689 560583 565703 843561 906047 1326807 1425089 1681749 1697109 1806323 2718141 3062599 3881893 4275267 5091327 5418969 6105691 8154423 9187797 9779059 11645679 12825801 15273981 16256907 18317073 24463269 27563391 29337177 34937037 38477403 48770721 54951219 82690173 88011531 88815371 104811111 112574897 164853657 177065039 264034593 266446113 283592711 337724691 531195117 609457201 799338339 850778133 958593487 1013174073 1215032509 1593585351 1828371603 2398015017 2552334399 2875780461 3039522219 3645097527 4780756053 5485114809 7657003197 8627341383 10935292581 16455344427 17674258829 25882024149 27799211123 32805877743 35235942761 53022776487 83397633369 105707828283 159068329461 190760103913 250192900107 317123484849 477204988383 572280311739 750578700321 951370454547 1716840935217 5150522805651 5532043013477 16596129040431 49788387121293 149365161363879