Search a number
-
+
3416640641064 = 2332716341589257
BaseRepresentation
bin110001101101111111101…
…001101101100000101000
3110002121221120010210120100
4301231333221231200220
5421434240001003224
611133325534225400
7501562353162450
oct61557751554050
913077846123510
103416640641064
1110a7a9762aaa2
12472202055260
131ba25987c601
14bb51b152d60
155dd1beccac9
hex31b7fa6d828

3416640641064 has 96 divisors (see below), whose sum is σ = 10640195766720. Its totient is φ = 970194163968.

The previous prime is 3416640641053. The next prime is 3416640641077. The reversal of 3416640641064 is 4601460466143.

It is a happy number.

3416640641064 is a `hidden beast` number, since 34 + 166 + 40 + 6 + 410 + 6 + 4 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20712477 + ... + 20876780.

It is an arithmetic number, because the mean of its divisors is an integer number (110835372570).

Almost surely, 23416640641064 is an apocalyptic number.

It is an amenable number.

3416640641064 is an abundant number, since it is smaller than the sum of its proper divisors (7223555125656).

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

3416640641064 is a wasteful number, since it uses less digits than its factorization.

3416640641064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41589439 (or 41589432 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3416640641064 in words is "three trillion, four hundred sixteen billion, six hundred forty million, six hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 163 168 252 326 489 504 652 978 1141 1304 1467 1956 2282 2934 3423 3912 4564 5868 6846 9128 10269 11736 13692 20538 27384 41076 82152 41589257 83178514 124767771 166357028 249535542 291124799 332714056 374303313 499071084 582249598 748606626 873374397 998142168 1164499196 1497213252 1746748794 2328998392 2620123191 2994426504 3493497588 5240246382 6779048891 6986995176 10480492764 13558097782 20337146673 20960985528 27116195564 40674293346 47453342237 54232391128 61011440019 81348586692 94906684474 122022880038 142360026711 162697173384 189813368948 244045760076 284720053422 379626737896 427080080133 488091520152 569440106844 854160160266 1138880213688 1708320320532 3416640641064