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34135290512 = 244095216273
BaseRepresentation
bin11111110010100111…
…110011001010010000
310021002221120102111222
4133302213303022100
51024402113244022
623403113424212
72315622116261
oct376247631220
9107087512458
1034135290512
1113527532aa4
126747a0b068
1332b003536b
14191b738968
15d4bbc5242
hex7f29f3290

34135290512 has 20 divisors (see below), whose sum is σ = 66298842540. Its totient is φ = 17025911808.

The previous prime is 34135290509. The next prime is 34135290517. The reversal of 34135290512 is 21509253143.

It can be written as a sum of positive squares in 2 ways, for example, as 32028113296 + 2107177216 = 178964^2 + 45904^2 .

It is not an unprimeable number, because it can be changed into a prime (34135290517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2601593 + ... + 2614680.

It is an arithmetic number, because the mean of its divisors is an integer number (3314942127).

Almost surely, 234135290512 is an apocalyptic number.

It is an amenable number.

34135290512 is a deficient number, since it is larger than the sum of its proper divisors (32163552028).

34135290512 is a wasteful number, since it uses less digits than its factorization.

34135290512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216690 (or 5216684 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

It can be divided in two parts, 3413 and 5290512, that added together give a palindrome (5293925).

The spelling of 34135290512 in words is "thirty-four billion, one hundred thirty-five million, two hundred ninety thousand, five hundred twelve".

Divisors: 1 2 4 8 16 409 818 1636 3272 6544 5216273 10432546 20865092 41730184 83460368 2133455657 4266911314 8533822628 17067645256 34135290512