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34451146425163 = 1324789421911551
BaseRepresentation
bin1111101010101010010000…
…10110000100001101001011
311111222111102121222102201011
413311111020112010031023
514003421421441101123
6201134345502504351
710154004344630446
oct765251026041513
9144874377872634
1034451146425163
11aa82716021286
123a44a432950b7
13162b962c9c900
1487163156465d
153eb2479c8e0d
hex1f554858434b

34451146425163 has 48 divisors (see below), whose sum is σ = 38539357286400. Its totient is φ = 30764769235200.

The previous prime is 34451146425149. The next prime is 34451146425229. The reversal of 34451146425163 is 36152464115443.

It is not a de Polignac number, because 34451146425163 - 213 = 34451146416971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34451146425463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2982519238 + ... + 2982530788.

It is an arithmetic number, because the mean of its divisors is an integer number (802903276800).

Almost surely, 234451146425163 is an apocalyptic number.

34451146425163 is a deficient number, since it is larger than the sum of its proper divisors (4088210861237).

34451146425163 is a wasteful number, since it uses less digits than its factorization.

34451146425163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15932 (or 15919 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

The spelling of 34451146425163 in words is "thirty-four trillion, four hundred fifty-one billion, one hundred forty-six million, four hundred twenty-five thousand, one hundred sixty-three".

Divisors: 1 13 47 89 169 611 1157 4183 4219 7943 11551 15041 54379 54847 150163 198293 375491 542897 706927 713011 1028039 1952119 2577809 4881383 7057661 13364507 17648077 33511517 48317833 48733669 63457979 91749593 173738591 229425001 628131829 633537697 2290482443 2982525013 4337296541 8165713777 8235990061 29776271759 56384855033 203852937427 387091532867 733003115429 2650088186551 34451146425163