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34527830441 = 13271240529
BaseRepresentation
bin100000001010000001…
…001110000110101001
310022010022012112001212
4200022001032012221
51031203111033231
623510055122505
72331426500456
oct401201160651
9108108175055
1034527830441
1113709073065
126837373435
133343464200
14195791a82d
15d713b342b
hex80a04e1a9

34527830441 has 18 divisors (see below), whose sum is σ = 37923069870. Its totient is φ = 31422168960.

The previous prime is 34527830413. The next prime is 34527830461. The reversal of 34527830441 is 14403872543.

It can be written as a sum of positive squares in 3 ways, for example, as 2642371216 + 31885459225 = 51404^2 + 178565^2 .

It is not a de Polignac number, because 34527830441 - 26 = 34527830377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34527830401) 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, 831665 + ... + 872193.

It is an arithmetic number, because the mean of its divisors is an integer number (2106837215).

Almost surely, 234527830441 is an apocalyptic number.

It is an amenable number.

34527830441 is a deficient number, since it is larger than the sum of its proper divisors (3395239429).

34527830441 is an equidigital number, since it uses as much as digits as its factorization.

34527830441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40697 (or 40613 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 34527830441 in words is "thirty-four billion, five hundred twenty-seven million, eight hundred thirty thousand, four hundred forty-one".

Divisors: 1 13 71 169 923 5041 11999 40529 65533 526877 851929 2877559 6849401 37408267 204306689 486307471 2655986957 34527830441