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34136273512 = 2311796777253
BaseRepresentation
bin11111110010101011…
…100011001001101000
310021010000102100221101
4133302223203021220
51024402341223022
623403150451144
72315633352205
oct376253431150
9107100370841
1034136273512
11135280445a0
126748203ab4
1332b02ba913
14191b912cac
15d4bd1b627
hex7f2ae3268

34136273512 has 64 divisors (see below), whose sum is σ = 70822252800. Its totient is φ = 15295338240.

The previous prime is 34136273471. The next prime is 34136273527. The reversal of 34136273512 is 21537263143.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4702878 + ... + 4710130.

It is an arithmetic number, because the mean of its divisors is an integer number (1106597700).

Almost surely, 234136273512 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 34136273512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35411126400).

34136273512 is an abundant number, since it is smaller than the sum of its proper divisors (36685979288).

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

34136273512 is a wasteful number, since it uses less digits than its factorization.

34136273512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8026 (or 8022 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The spelling of 34136273512 in words is "thirty-four billion, one hundred thirty-six million, two hundred seventy-three thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 677 869 1354 1738 2708 3476 5416 6952 7253 7447 14506 14894 29012 29788 53483 58024 59576 79783 106966 159566 213932 319132 427864 572987 588313 638264 1145974 1176626 2291948 2353252 4583896 4706504 4910281 6302857 9820562 12605714 19641124 25211428 39282248 50422856 54013091 108026182 216052364 387912199 432104728 775824398 1551648796 3103297592 4267034189 8534068378 17068136756 34136273512