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398427326521 = 72901732
BaseRepresentation
bin1011100110001000001…
…11101000100000111001
31102002102002022021112221
411303010013220200321
523011434343422041
6503011320204041
740533254253100
oct5630407504071
91362362267487
10398427326521
11143a76925554
1265274609621
132b757882713
14153d9383037
15a56d7e62d1
hex5cc41e8839

398427326521 has 9 divisors (see below), whose sum is σ = 463481825871. Its totient is φ = 341505349752.

The previous prime is 398427326519. The next prime is 398427326569. The reversal of 398427326521 is 125623724893.

It is a happy number.

The square root of 398427326521 is 631211.

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

It can be written as a sum of positive squares in only one way, i.e., 374599082025 + 23828244496 = 612045^2 + 154364^2 .

It is not a de Polignac number, because 398427326521 - 21 = 398427326519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (398427320521) 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, 4373391 + ... + 4463563.

Almost surely, 2398427326521 is an apocalyptic number.

398427326521 is the 631211-st square number.

398427326521 is the 315606-th centered octagonal number.

It is an amenable number.

398427326521 is a deficient number, since it is larger than the sum of its proper divisors (65054499350).

398427326521 is an frugal number, since it uses more digits than its factorization.

398427326521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180360 (or 90180 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 398427326521 in words is "three hundred ninety-eight billion, four hundred twenty-seven million, three hundred twenty-six thousand, five hundred twenty-one".

Divisors: 1 7 49 90173 631211 4418477 8131169929 56918189503 398427326521