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424385799601 = 412158892
BaseRepresentation
bin1100010110011110101…
…11010110010110110001
31111120102011202100020211
412023033113112112301
523423120231041401
6522543220304121
742442450530451
oct6131727262661
91446364670224
10424385799601
11153a877a1595
126a2b9b42041
133103384656a
141677cb47d61
15b08c6e5951
hex62cf5d65b1

424385799601 has 9 divisors (see below), whose sum is σ = 435016511553. Its totient is φ = 414008868480.

The previous prime is 424385799599. The next prime is 424385799647. The reversal of 424385799601 is 106997583424.

The square root of 424385799601 is 651449.

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 244677633201 + 179708166400 = 494649^2 + 423920^2 .

It is not a de Polignac number, because 424385799601 - 21 = 424385799599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (424385719601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26701465 + ... + 26717353.

It is a 1-persistent number, because it is pandigital, but 2⋅424385799601 = 848771599202 is not.

Almost surely, 2424385799601 is an apocalyptic number.

424385799601 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

424385799601 is the 651449-th square number.

424385799601 is the 325725-th centered octagonal number.

It is an amenable number.

424385799601 is a deficient number, since it is larger than the sum of its proper divisors (10630711952).

424385799601 is an frugal number, since it uses more digits than its factorization.

424385799601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31860 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 424385799601 in words is "four hundred twenty-four billion, three hundred eighty-five million, seven hundred ninety-nine thousand, six hundred one".

Divisors: 1 41 1681 15889 651449 26709409 252460321 10350873161 424385799601