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34137351075 = 35217101265093
BaseRepresentation
bin11111110010101111…
…101010001110100011
310021010002110010002010
4133302233222032203
51024403130213300
623403225524003
72315645460612
oct376257521643
9107102403063
1034137351075
1113528710143
126748643603
1332b05a7229
14191bb13879
15d4be80a50
hex7f2bea3a3

34137351075 has 48 divisors (see below), whose sum is σ = 60352360416. Its totient is φ = 16965888000.

The previous prime is 34137351071. The next prime is 34137351097. The reversal of 34137351075 is 57015373143.

It is a happy number.

It is not a de Polignac number, because 34137351075 - 22 = 34137351071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34137351071) 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, 3772 + ... + 261321.

It is an arithmetic number, because the mean of its divisors is an integer number (1257340842).

Almost surely, 234137351075 is an apocalyptic number.

34137351075 is a deficient number, since it is larger than the sum of its proper divisors (26215009341).

34137351075 is a wasteful number, since it uses less digits than its factorization.

34137351075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265224 (or 265219 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The spelling of 34137351075 in words is "thirty-four billion, one hundred thirty-seven million, three hundred fifty-one thousand, seventy-five".

Divisors: 1 3 5 15 17 25 51 75 85 101 255 303 425 505 1275 1515 1717 2525 5151 7575 8585 25755 42925 128775 265093 795279 1325465 3976395 4506581 6627325 13519743 19881975 22532905 26774393 67598715 80323179 112664525 133871965 337993575 401615895 455164681 669359825 1365494043 2008079475 2275823405 6827470215 11379117025 34137351075