Search a number
-
+
34125198608 = 2417210397103
BaseRepresentation
bin11111110010000001…
…010011010100010000
310021002020120201000202
4133302001103110100
51024342022323413
623402113234332
72315440254644
oct376201232420
9107066521022
1034125198608
111352186a886
1267445629a8
1332aac10a17
14191a26cc24
15d4ad7ee58
hex7f2053510

34125198608 has 60 divisors (see below), whose sum is σ = 70313118720. Its totient is φ = 16041202176.

The previous prime is 34125198571. The next prime is 34125198619. The reversal of 34125198608 is 80689152143.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4800785 + ... + 4807887.

It is an arithmetic number, because the mean of its divisors is an integer number (1171885312).

Almost surely, 234125198608 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 34125198608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35156559360).

34125198608 is an abundant number, since it is smaller than the sum of its proper divisors (36187920112).

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

34125198608 is a wasteful number, since it uses less digits than its factorization.

34125198608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 34125198608 in words is "thirty-four billion, one hundred twenty-five million, one hundred ninety-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1039 1156 2078 2312 4156 4624 7103 8312 14206 16624 17663 28412 35326 56824 70652 113648 120751 141304 241502 282608 300271 483004 600542 966008 1201084 1932016 2052767 2402168 4105534 4804336 7380017 8211068 14760034 16422136 29520068 32844272 59040136 118080272 125460289 250920578 501841156 1003682312 2007364624 2132824913 4265649826 8531299652 17062599304 34125198608