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5305354670112 = 253722557441079
BaseRepresentation
bin100110100110011111111…
…0001111101000000100000
3200210012001021210120122120
41031030333301331000200
51143410331243420422
615141125110504240
71055204430426600
oct115147761750040
920705037716576
105305354670112
111765a96445762
12718268665080
132c63a6381513
14144acdb10c00
159301004445c
hex4d33fc7d020

5305354670112 has 144 divisors (see below), whose sum is σ = 16206651840960. Its totient is φ = 1515219374592.

The previous prime is 5305354670111. The next prime is 5305354670117. The reversal of 5305354670112 is 2110764535035.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5305354670111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11807589 + ... + 12248667.

It is an arithmetic number, because the mean of its divisors is an integer number (112546193340).

Almost surely, 25305354670112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305354670112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103325920480).

5305354670112 is an abundant number, since it is smaller than the sum of its proper divisors (10901297170848).

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

5305354670112 is a wasteful number, since it uses less digits than its factorization.

5305354670112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443663 (or 443648 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 5305354670112 in words is "five trillion, three hundred five billion, three hundred fifty-four million, six hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 2557 4704 5114 7671 10228 15342 17899 20456 30684 35798 40912 53697 61368 71596 81824 107394 122736 125293 143192 214788 245472 250586 286384 375879 429576 441079 501172 572768 751758 859152 882158 1002344 1323237 1503516 1718304 1764316 2004688 2646474 3007032 3087553 3528632 4009376 5292948 6014064 6175106 7057264 9262659 10585896 12028128 12350212 14114528 18525318 21171792 21612871 24700424 37050636 42343584 43225742 49400848 64838613 74101272 86451484 98801696 129677226 148202544 172902968 259354452 296405088 345805936 518708904 691611872 1037417808 1127839003 2074835616 2255678006 3383517009 4511356012 6767034018 7894873021 9022712024 13534068036 15789746042 18045424048 23684619063 27068136072 31579492084 36090848096 47369238126 54136272144 55264111147 63158984168 94738476252 108272544288 110528222294 126317968336 165792333441 189476952504 221056444588 252635936672 331584666882 378953905008 442112889176 663169333764 757907810016 884225778352 1326338667528 1768451556704 2652677335056 5305354670112