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34494518529 = 32619092
BaseRepresentation
bin100000001000000010…
…001001010100000001
310022000222112002201100
4200020002021110001
51031121044043104
623502505125013
72330543366262
oct401002112401
9108028462640
1034494518529
11136a1290359
126828189769
13333959c913
141953328969
15d6d4d3139
hex808089501

34494518529 has 9 divisors (see below), whose sum is σ = 49826220483. Its totient is φ = 22995974232.

The previous prime is 34494518473. The next prime is 34494518537. The reversal of 34494518529 is 92581549443.

It is a happy number.

The square root of 34494518529 is 185727.

It is a perfect power (a square), and thus also a powerful number.

34494518529 is a `hidden beast` number, since 3 + 4 + 494 + 51 + 85 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32517826929 + 1976691600 = 180327^2 + 44460^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 34494518529 - 29 = 34494518017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34494510529) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 526227 + ... + 588135.

Almost surely, 234494518529 is an apocalyptic number.

34494518529 is the 185727-th square number.

34494518529 is the 92864-th centered octagonal number.

It is an amenable number.

34494518529 is a deficient number, since it is larger than the sum of its proper divisors (15331701954).

34494518529 is an frugal number, since it uses more digits than its factorization.

34494518529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123824 (or 61912 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 34494518529 in words is "thirty-four billion, four hundred ninety-four million, five hundred eighteen thousand, five hundred twenty-nine".

Divisors: 1 3 9 61909 185727 557181 3832724281 11498172843 34494518529