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634248181609 = 74162532
BaseRepresentation
bin10010011101011000010…
…00110011011101101001
32020122002211211221110221
421032230020303131221
540342420013302414
61203211455410041
763552155410000
oct11165410633551
92218084757427
10634248181609
11224a8a622319
12a2b08523921
1347a6a19ab23
14229aa9a7c37
15117718e2224
hex93ac233769

634248181609 has 15 divisors (see below), whose sum is σ = 739957712663. Its totient is φ = 543607849848.

The previous prime is 634248181603. The next prime is 634248181669. The reversal of 634248181609 is 906181842436.

The square root of 634248181609 is 796397.

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

634248181609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 438555195225 + 195692986384 = 662235^2 + 442372^2 .

It is not a de Polignac number, because 634248181609 - 25 = 634248181577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (634248181603) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 39015327 + ... + 39031579.

Almost surely, 2634248181609 is an apocalyptic number.

634248181609 is the 796397-th square number.

634248181609 is the 398199-th centered octagonal number.

It is an amenable number.

634248181609 is a deficient number, since it is larger than the sum of its proper divisors (105709531054).

634248181609 is an frugal number, since it uses more digits than its factorization.

634248181609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32534 (or 16260 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 634248181609 in words is "six hundred thirty-four billion, two hundred forty-eight million, one hundred eighty-one thousand, six hundred nine".

Divisors: 1 7 49 343 2401 16253 113771 796397 5574779 39023453 264160009 1849120063 12943840441 90606883087 634248181609