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424521311809 = 74132972
BaseRepresentation
bin1100010110101110111…
…00010010011001000001
31111120202121202002001111
412023113130102121001
523423404423434214
6523004501003321
742446014420000
oct6132734223101
91446677662044
10424521311809
11154047238951
126a3373b3541
1331055941cba
1416792b40c37
15b0995625c4
hex62d7712641

424521311809 has 15 divisors (see below), whose sum is σ = 495282643107. Its totient is φ = 363848044896.

The previous prime is 424521311801. The next prime is 424521311857. The reversal of 424521311809 is 908113125424.

The square root of 424521311809 is 651553.

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., 1594804225 + 422926507584 = 39935^2 + 650328^2 .

It is not a de Polignac number, because 424521311809 - 23 = 424521311801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (424521311801) 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, 31919449 + ... + 31932745.

Almost surely, 2424521311809 is an apocalyptic number.

424521311809 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

424521311809 is the 651553-rd square number.

424521311809 is the 325777-th centered octagonal number.

It is an amenable number.

424521311809 is a deficient number, since it is larger than the sum of its proper divisors (70761331298).

424521311809 is an frugal number, since it uses more digits than its factorization.

424521311809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26622 (or 13304 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 424521311809 in words is "four hundred twenty-four billion, five hundred twenty-one million, three hundred eleven thousand, eight hundred nine".

Divisors: 1 7 49 343 2401 13297 93079 651553 4560871 31926097 176810209 1237671463 8663700241 60645901687 424521311809