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424208623969 = 132501012
BaseRepresentation
bin1100010110001001100…
…11011110100101100001
31111112221211100212222101
412023010303132211201
523422234401431334
6522513451010401
742435166544434
oct6130463364541
91445854325871
10424208623969
111539a6788949
126a26a739a01
1331005c21100
14167633c781b
15b07bd99214
hex62c4cde961

424208623969 has 9 divisors (see below), whose sum is σ = 459359335449. Its totient is φ = 391569375600.

The previous prime is 424208623963. The next prime is 424208624009. The reversal of 424208623969 is 969326802424.

The square root of 424208623969 is 651313.

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 218738613025 + 205470010944 = 467695^2 + 453288^2 .

It is not a de Polignac number, because 424208623969 - 23 = 424208623961 is a prime.

It is a super-2 number, since 2×4242086239692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (424208623961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8442019 + ... + 8492119.

It is an arithmetic number, because the mean of its divisors is an integer number (51039926161).

Almost surely, 2424208623969 is an apocalyptic number.

424208623969 is the 651313-rd square number.

424208623969 is the 325657-th centered octagonal number.

It is an amenable number.

424208623969 is a deficient number, since it is larger than the sum of its proper divisors (35150711480).

424208623969 is an frugal number, since it uses more digits than its factorization.

424208623969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100228 (or 50114 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 55.

The spelling of 424208623969 in words is "four hundred twenty-four billion, two hundred eight million, six hundred twenty-three thousand, nine hundred sixty-nine".

Divisors: 1 13 169 50101 651313 8467069 2510110201 32631432613 424208623969