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54034397209 = 132178812
BaseRepresentation
bin110010010100101100…
…110111100000011001
312011110202020210011201
4302110230313200121
51341130301202314
640453440354201
73622010540512
oct622454674031
9164422223151
1054034397209
1120a09010421
12a580015961
135131845a00
142888479a09
151613b61b74
hexc94b37819

54034397209 has 9 divisors (see below), whose sum is σ = 58513891869. Its totient is φ = 49875115680.

The previous prime is 54034397171. The next prime is 54034397243. The reversal of 54034397209 is 90279343045.

The square root of 54034397209 is 232453.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13299855625 + 40734541584 = 115325^2 + 201828^2 .

It is not a de Polignac number, because 54034397209 - 29 = 54034396697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54034397309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3012949 + ... + 3030829.

It is an arithmetic number, because the mean of its divisors is an integer number (6501543541).

Almost surely, 254034397209 is an apocalyptic number.

54034397209 is the 232453-rd square number.

54034397209 is the 116227-th centered octagonal number.

It is an amenable number.

54034397209 is a deficient number, since it is larger than the sum of its proper divisors (4479494660).

54034397209 is an frugal number, since it uses more digits than its factorization.

54034397209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35788 (or 17894 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 54034397209 in words is "fifty-four billion, thirty-four million, three hundred ninety-seven thousand, two hundred nine".

Divisors: 1 13 169 17881 232453 3021889 319730161 4156492093 54034397209