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34135015050 = 2325275855589
BaseRepresentation
bin11111110010100110…
…101111111010001010
310021002221001102122200
4133302212233322022
51024402030440200
623403103501030
72315616561213
oct376246577212
9107087042580
1034135015050
1113527365044
1267478b7776
1332acc69b76
14191b6a640a
15d4bb6d800
hex7f29afe8a

34135015050 has 36 divisors (see below), whose sum is σ = 91709408310. Its totient is φ = 9102670560.

The previous prime is 34135015009. The next prime is 34135015051. The reversal of 34135015050 is 5051053143.

34135015050 is a `hidden beast` number, since 3 + 413 + 50 + 150 + 50 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19299044241 + 14835970809 = 138921^2 + 121803^2 .

It is not an unprimeable number, because it can be changed into a prime (34135015051) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37927345 + ... + 37928244.

Almost surely, 234135015050 is an apocalyptic number.

34135015050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34135015050 is an abundant number, since it is smaller than the sum of its proper divisors (57574393260).

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

34135015050 is a wasteful number, since it uses less digits than its factorization.

34135015050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75855607 (or 75855599 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 34135015050 its reverse (5051053143), we get a palindrome (39186068193).

The spelling of 34135015050 in words is "thirty-four billion, one hundred thirty-five million, fifteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 75855589 151711178 227566767 379277945 455133534 682700301 758555890 1137833835 1365400602 1896389725 2275667670 3413501505 3792779450 5689169175 6827003010 11378338350 17067507525 34135015050