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117033148926 = 23217109232191
BaseRepresentation
bin110110011111110111…
…0000010000111111110
3102012002020111221221100
41230333232002013332
53404140441231201
6125433030313530
711312122231551
oct1547756020776
9365066457840
10117033148926
11456a7185a91
121a8221b88a6
13b06163b1a5
1459432cc698
15309e7ad886
hex1b3fb821fe

117033148926 has 72 divisors (see below), whose sum is σ = 270982018944. Its totient is φ = 36378305280.

The previous prime is 117033148919. The next prime is 117033149003. The reversal of 117033148926 is 629841330711.

117033148926 is a `hidden beast` number, since 117 + 0 + 3 + 31 + 489 + 26 = 666.

117033148926 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 3619491 + ... + 3651681.

It is an arithmetic number, because the mean of its divisors is an integer number (3763639152).

Almost surely, 2117033148926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117033148926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135491009472).

117033148926 is an abundant number, since it is smaller than the sum of its proper divisors (153948870018).

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

117033148926 is a wasteful number, since it uses less digits than its factorization.

117033148926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32434 (or 32322 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 117033148926 in words is "one hundred seventeen billion, thirty-three million, one hundred forty-eight thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1853 1962 3706 5559 11118 11881 16677 23762 32191 33354 35643 64382 71286 96573 106929 193146 201977 213858 289719 403954 547247 579438 605931 1094494 1211862 1641741 1817793 3283482 3508819 3635586 4925223 7017638 9850446 10526457 21052914 31579371 59649923 63158742 119299846 178949769 357899538 382461271 536849307 764922542 1073698614 1147383813 2294767626 3442151439 6501841607 6884302878 13003683214 19505524821 39011049642 58516574463 117033148926